Search a number
-
+
157992 = 23329227
BaseRepresentation
bin100110100100101000
322000201120
4212210220
520023432
63215240
71225422
oct464450
9260646
10157992
11a877a
1277520
1356bb3
1441812
1531c2c
hex26928

157992 has 32 divisors (see below), whose sum is σ = 410400. Its totient is φ = 50624.

The previous prime is 157991. The next prime is 157999. The reversal of 157992 is 299751.

It is a super-2 number, since 2×1579922 = 49922944128, which contains 22 as substring.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (157991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583 + ... + 809.

It is an arithmetic number, because the mean of its divisors is an integer number (12825).

2157992 is an apocalyptic number.

157992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205200).

157992 is an abundant number, since it is smaller than the sum of its proper divisors (252408).

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

157992 is a wasteful number, since it uses less digits than its factorization.

157992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its digits is 5670, while the sum is 33.

The square root of 157992 is about 397.4820750675. The cubic root of 157992 is about 54.0602893168.

The spelling of 157992 in words is "one hundred fifty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 227 232 348 454 681 696 908 1362 1816 2724 5448 6583 13166 19749 26332 39498 52664 78996 157992