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381057957 = 3272864077
BaseRepresentation
bin10110101101100…
…111101110100101
3222120000202020200
4112231213232211
51240022323312
6101451221113
712304640100
oct2655475645
9876022220
10381057957
11186108535
12a7747799
1360c3b8a7
1438873737
15236c10dc
hex16b67ba5

381057957 has 18 divisors (see below), whose sum is σ = 640281798. Its totient is φ = 217747152.

The previous prime is 381057913. The next prime is 381057961. The reversal of 381057957 is 759750183.

It can be written as a sum of positive squares in only one way, i.e., 319372641 + 61685316 = 17871^2 + 7854^2 .

It is not a de Polignac number, because 381057957 - 27 = 381057829 is a prime.

It is a super-3 number, since 3×3810579573 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381057967) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 431598 + ... + 432479.

It is an arithmetic number, because the mean of its divisors is an integer number (35571211).

Almost surely, 2381057957 is an apocalyptic number.

It is an amenable number.

381057957 is a deficient number, since it is larger than the sum of its proper divisors (259223841).

381057957 is a wasteful number, since it uses less digits than its factorization.

381057957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864097 (or 864087 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The square root of 381057957 is about 19520.7058530167. The cubic root of 381057957 is about 724.9872099210.

The spelling of 381057957 in words is "three hundred eighty-one million, fifty-seven thousand, nine hundred fifty-seven".

Divisors: 1 3 7 9 21 49 63 147 441 864077 2592231 6048539 7776693 18145617 42339773 54436851 127019319 381057957