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3914382192 = 2437174315937
BaseRepresentation
bin1110100101010000…
…1011101101110000
3101002210121012220020
43221110023231300
531004040212232
61444230443440
7166000461660
oct35124135560
911083535806
103914382192
111729626306
12912b03580
134a4c752a6
14291c281a0
1517d9b1e2c
hexe950bb70

3914382192 has 160 divisors (see below), whose sum is σ = 12521912832. Its totient is φ = 1028063232.

The previous prime is 3914382191. The next prime is 3914382289. The reversal of 3914382192 is 2912834193.

3914382192 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3914382191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237648 + ... + 253584.

Almost surely, 23914382192 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 3914382192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260956416).

3914382192 is an abundant number, since it is smaller than the sum of its proper divisors (8607530640).

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

3914382192 is a wasteful number, since it uses less digits than its factorization.

3914382192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16015 (or 16009 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 3914382192 is about 62565.0237113357. The cubic root of 3914382192 is about 1575.9934529519.

The spelling of 3914382192 in words is "three billion, nine hundred fourteen million, three hundred eighty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 43 48 51 56 68 84 86 102 112 119 129 136 168 172 204 238 258 272 301 336 344 357 408 476 516 602 688 714 731 816 903 952 1032 1204 1428 1462 1806 1904 2064 2193 2408 2856 2924 3612 4386 4816 5117 5712 5848 7224 8772 10234 11696 14448 15351 15937 17544 20468 30702 31874 35088 40936 47811 61404 63748 81872 95622 111559 122808 127496 191244 223118 245616 254992 270929 334677 382488 446236 541858 669354 685291 764976 812787 892472 1083716 1338708 1370582 1625574 1784944 1896503 2055873 2167432 2677416 2741164 3251148 3793006 4111746 4334864 4797037 5354832 5482328 5689509 6502296 7586012 8223492 9594074 10964656 11379018 11649947 13004592 14391111 15172024 16446984 19188148 22758036 23299894 28782222 30344048 32893968 34949841 38376296 45516072 46599788 57564444 69899682 76752592 81549629 91032144 93199576 115128888 139799364 163099258 186399152 230257776 244648887 279598728 326198516 489297774 559197456 652397032 978595548 1304794064 1957191096 3914382192