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157142892 = 22335337097
BaseRepresentation
bin10010101110111…
…00111101101100
3101221200200112010
421113130331230
5310212033032
623332041220
73615456354
oct1127347554
9357620463
10157142892
1180780865
1244763210
132673017a
1416c27b64
15dbe0ccc
hex95dcf6c

157142892 has 24 divisors (see below), whose sum is σ = 367715376. Its totient is φ = 52231168.

The previous prime is 157142891. The next prime is 157142897. The reversal of 157142892 is 298241751.

It is a super-2 number, since 2×1571428922 = 49387777012247328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 157142892.

It is not an unprimeable number, because it can be changed into a prime (157142891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14313 + ... + 22784.

It is an arithmetic number, because the mean of its divisors is an integer number (15321474).

Almost surely, 2157142892 is an apocalyptic number.

157142892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157142892 is an abundant number, since it is smaller than the sum of its proper divisors (210572484).

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

157142892 is a wasteful number, since it uses less digits than its factorization.

157142892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37457 (or 37455 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 157142892 is about 12535.6648008791. The cubic root of 157142892 is about 539.6326857333.

The spelling of 157142892 in words is "one hundred fifty-seven million, one hundred forty-two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 353 706 1059 1412 2118 4236 37097 74194 111291 148388 222582 445164 13095241 26190482 39285723 52380964 78571446 157142892