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3137491392 = 26374749669
BaseRepresentation
bin1011101100000010…
…0101000111000000
322002122202002001220
42323000211013000
522411144211032
61235155155040
7140515144140
oct27300450700
98078662056
103137491392
1113700397a2
127368a5a80
133b0023aa9
1421a996920
151356a212c
hexbb0251c0

3137491392 has 112 divisors (see below), whose sum is σ = 9689226240. Its totient is φ = 877335552.

The previous prime is 3137491373. The next prime is 3137491393. The reversal of 3137491392 is 2931947313.

It is a tau number, because it is divible by the number of its divisors (112).

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 (3137491393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38334 + ... + 88002.

Almost surely, 23137491392 is an apocalyptic number.

3137491392 is a gapful number since it is divisible by the number (32) 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 3137491392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844613120).

3137491392 is an abundant number, since it is smaller than the sum of its proper divisors (6551734848).

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

3137491392 is a wasteful number, since it uses less digits than its factorization.

3137491392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49738 (or 49728 counting only the distinct ones).

The product of its digits is 122472, while the sum is 42.

The square root of 3137491392 is about 56013.3144171991. The cubic root of 3137491392 is about 1463.9542820684.

The spelling of 3137491392 in words is "three billion, one hundred thirty-seven million, four hundred ninety-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 141 168 188 192 224 282 329 336 376 448 564 658 672 752 987 1128 1316 1344 1504 1974 2256 2632 3008 3948 4512 5264 7896 9024 10528 15792 21056 31584 49669 63168 99338 149007 198676 298014 347683 397352 596028 695366 794704 1043049 1192056 1390732 1589408 2086098 2334443 2384112 2781464 3178816 4172196 4668886 4768224 5562928 7003329 8344392 9337772 9536448 11125856 14006658 16341101 16688784 18675544 22251712 28013316 32682202 33377568 37351088 49023303 56026632 65364404 66755136 74702176 98046606 112053264 130728808 149404352 196093212 224106528 261457616 392186424 448213056 522915232 784372848 1045830464 1568745696 3137491392