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3957134748 = 223733131013
BaseRepresentation
bin1110101111011101…
…0001010110011100
3101012210001021101020
43223313101112130
531101011302443
61452355044140
7200030043000
oct35367212634
911183037336
103957134748
1117507769a6
129252a0650
134b0a93968
14297796700
15182609583
hexebdd159c

3957134748 has 96 divisors (see below), whose sum is σ = 11115417600. Its totient is φ = 1094103360.

The previous prime is 3957134743. The next prime is 3957134789. The reversal of 3957134748 is 8474317593.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3957134748.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3957134743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112090 + ... + 143102.

It is an arithmetic number, because the mean of its divisors is an integer number (115785600).

Almost surely, 23957134748 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 3957134748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557708800).

3957134748 is an abundant number, since it is smaller than the sum of its proper divisors (7158282852).

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

3957134748 is a wasteful number, since it uses less digits than its factorization.

3957134748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31072 (or 31056 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The square root of 3957134748 is about 62905.7608490669. The cubic root of 3957134748 is about 1581.7103132090.

The spelling of 3957134748 in words is "three billion, nine hundred fifty-seven million, one hundred thirty-four thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 343 372 434 588 651 686 868 1029 1302 1372 1519 2058 2604 3038 4116 4557 6076 9114 10633 18228 21266 31013 31899 42532 62026 63798 93039 124052 127596 186078 217091 372156 434182 651273 868364 961403 1302546 1519637 1922806 2605092 2884209 3039274 3845612 4558911 5768418 6078548 6729821 9117822 10637459 11536836 13459642 18235644 20189463 21274918 26919284 31912377 40378926 42549836 47108747 63824754 80757852 94217494 127649508 141326241 188434988 282652482 329761229 565304964 659522458 989283687 1319044916 1978567374 3957134748