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3730924896 = 253312371093
BaseRepresentation
bin1101111001100001…
…0110010101100000
3100122000101121210120
43132120112111200
530120104044041
61414114400240
7161312224026
oct33630262540
910560347716
103730924896
111645012106
12881590080
13475c6088a
14275710716
1516c824366
hexde616560

3730924896 has 144 divisors (see below), whose sum is σ = 10402810992. Its totient is φ = 1169925120.

The previous prime is 3730924867. The next prime is 3730924903. The reversal of 3730924896 is 6984290373.

It is a super-2 number, since 2×37309248962 = 27839601159185221632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3412926 + ... + 3414018.

It is an arithmetic number, because the mean of its divisors is an integer number (72241743).

Almost surely, 23730924896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3730924896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201405496).

3730924896 is an abundant number, since it is smaller than the sum of its proper divisors (6671886096).

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

3730924896 is a wasteful number, since it uses less digits than its factorization.

3730924896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 3730924896 is about 61081.2974321928. The cubic root of 3730924896 is about 1550.9775167270.

The spelling of 3730924896 in words is "three billion, seven hundred thirty million, nine hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 74 93 96 111 124 148 186 222 248 296 372 444 496 592 744 888 961 992 1093 1147 1184 1488 1776 1922 2186 2294 2883 2976 3279 3441 3552 3844 4372 4588 5766 6558 6882 7688 8744 9176 11532 13116 13764 15376 17488 18352 23064 26232 27528 30752 33883 34976 35557 36704 40441 46128 52464 55056 67766 71114 80882 92256 101649 104928 106671 110112 121323 135532 142228 161764 203298 213342 242646 271064 284456 323528 406596 426684 485292 542128 568912 647056 813192 853368 970584 1050373 1084256 1137824 1253671 1294112 1626384 1706736 1941168 2100746 2507342 3151119 3252768 3413472 3761013 3882336 4201492 5014684 6302238 7522026 8402984 10029368 12604476 15044052 16805968 20058736 25208952 30088104 33611936 38863801 40117472 50417904 60176208 77727602 100835808 116591403 120352416 155455204 233182806 310910408 466365612 621820816 932731224 1243641632 1865462448 3730924896