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157776381 = 3276413907
BaseRepresentation
bin10010110011101…
…11100111111101
3101222212212111200
421121313213331
5310342321011
623353410113
73624035310
oct1131674775
9358785450
10157776381
1181073804
1244a09939
13268c2609
1416d50977
15dcb8856
hex96779fd

157776381 has 24 divisors (see below), whose sum is σ = 260929344. Its totient is φ = 89994240.

The previous prime is 157776349. The next prime is 157776383. The reversal of 157776381 is 183677751.

157776381 is a `hidden beast` number, since 1 + 5 + 7 + 7 + 7 + 638 + 1 = 666.

It is not a de Polignac number, because 157776381 - 25 = 157776349 is a prime.

It is a super-2 number, since 2×1577763812 = 49786772802914322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157776383) 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 23 ways as a sum of consecutive naturals, for example, 38430 + ... + 42336.

It is an arithmetic number, because the mean of its divisors is an integer number (10872056).

Almost surely, 2157776381 is an apocalyptic number.

It is an amenable number.

157776381 is a deficient number, since it is larger than the sum of its proper divisors (103152963).

157776381 is a wasteful number, since it uses less digits than its factorization.

157776381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4558 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The square root of 157776381 is about 12560.9068542044. The cubic root of 157776381 is about 540.3568526036.

The spelling of 157776381 in words is "one hundred fifty-seven million, seven hundred seventy-six thousand, three hundred eighty-one".

Divisors: 1 3 7 9 21 63 641 1923 3907 4487 5769 11721 13461 27349 35163 40383 82047 246141 2504387 7513161 17530709 22539483 52592127 157776381