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157082058 = 23371492789
BaseRepresentation
bin10010101110011…
…10000111001010
3101221120121002000
421113032013022
5310203111213
623330451430
73615114120
oct1127160712
9357517060
10157082058
118073a091
1244733b76
132670b583
1416c0d910
15dbccc73
hex95ce1ca

157082058 has 64 divisors (see below), whose sum is σ = 401760000. Its totient is φ = 44563392.

The previous prime is 157082047. The next prime is 157082069. The reversal of 157082058 is 850280751.

157082058 is a `hidden beast` number, since 1 + 570 + 82 + 0 + 5 + 8 = 666.

157082058 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157082047) and next prime (157082069).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54928 + ... + 57716.

It is an arithmetic number, because the mean of its divisors is an integer number (6277500).

Almost surely, 2157082058 is an apocalyptic number.

157082058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157082058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880000).

157082058 is an abundant number, since it is smaller than the sum of its proper divisors (244677942).

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

157082058 is a wasteful number, since it uses less digits than its factorization.

157082058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 157082058 is about 12533.2381290710. The cubic root of 157082058 is about 539.5630415781.

It can be divided in two parts, 1570820 and 58, that added together give a triangular number (1570878 = T1772).

The spelling of 157082058 in words is "one hundred fifty-seven million, eighty-two thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 149 189 298 378 447 894 1043 1341 2086 2682 2789 3129 4023 5578 6258 8046 8367 9387 16734 18774 19523 25101 28161 39046 50202 56322 58569 75303 117138 150606 175707 351414 415561 527121 831122 1054242 1246683 2493366 2908927 3740049 5817854 7480098 8726781 11220147 17453562 22440294 26180343 52360686 78541029 157082058