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3898020848 = 2417192931839
BaseRepresentation
bin1110100001010111…
…0001001111110000
3101001122210222100112
43220111301033300
530440343131343
61442444040452
7165411426161
oct35025611760
911048728315
103898020848
111720370837
12909533128
134a1767117
1428d9a9768
1517c32e218
hexe85713f0

3898020848 has 160 divisors (see below), whose sum is σ = 8999424000. Its totient is φ = 1621831680.

The previous prime is 3898020827. The next prime is 3898020851. The reversal of 3898020848 is 8480208983.

3898020848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3898020796 and 3898020805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4645613 + ... + 4646451.

It is an arithmetic number, because the mean of its divisors is an integer number (56246400).

Almost surely, 23898020848 is an apocalyptic number.

3898020848 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3898020848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712000).

3898020848 is an abundant number, since it is smaller than the sum of its proper divisors (5101403152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3898020848 is a wasteful number, since it uses less digits than its factorization.

3898020848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 50.

The square root of 3898020848 is about 62434.1320753320. The cubic root of 3898020848 is about 1573.7946061238.

The spelling of 3898020848 in words is "three billion, eight hundred ninety-eight million, twenty thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 17 19 29 31 34 38 58 62 68 76 116 124 136 152 232 248 272 304 323 464 493 496 527 551 589 646 839 899 986 1054 1102 1178 1292 1678 1798 1972 2108 2204 2356 2584 3356 3596 3944 4216 4408 4712 5168 6712 7192 7888 8432 8816 9367 9424 10013 13424 14263 14384 15283 15941 17081 18734 20026 24331 26009 28526 30566 31882 34162 37468 40052 48662 52018 57052 61132 63764 68324 74936 80104 97324 104036 114104 122264 127528 136648 149872 160208 194648 208072 228208 244528 255056 270997 273296 290377 389296 413627 416144 442153 462289 494171 541994 580754 754261 827254 884306 924578 988342 1083988 1161508 1508522 1654508 1768612 1849156 1976684 2167976 2323016 3017044 3309016 3537224 3698312 3953368 4335952 4646032 6034088 6618032 7074448 7396624 7858913 7906736 8400907 12068176 12822437 14330959 15717826 16801814 25644874 28661918 31435652 33603628 51289748 57323836 62871304 67207256 102579496 114647672 125742608 134414512 205158992 229295344 243626303 487252606 974505212 1949010424 3898020848