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152972933 = 1961891483
BaseRepresentation
bin10010001111000…
…10111010000101
3101122211211102012
421013202322011
5303130113213
623102424005
73535151141
oct1107427205
9348754365
10152972933
1179392913
1243292005
1325900139
1416460221
15d66a4a8
hex91e2e85

152972933 has 16 divisors (see below), whose sum is σ = 165614400. Its totient is φ = 140849280.

The previous prime is 152972929. The next prime is 152972947. The reversal of 152972933 is 339279251.

It is a happy number.

It is not a de Polignac number, because 152972933 - 22 = 152972929 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152972923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102410 + ... + 103892.

It is an arithmetic number, because the mean of its divisors is an integer number (10350900).

Almost surely, 2152972933 is an apocalyptic number.

It is an amenable number.

152972933 is a deficient number, since it is larger than the sum of its proper divisors (12641467).

152972933 is a wasteful number, since it uses less digits than its factorization.

152972933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652.

The product of its digits is 102060, while the sum is 41.

The square root of 152972933 is about 12368.2227098318. Note that the first 3 decimals coincide. The cubic root of 152972933 is about 534.8165825380.

The spelling of 152972933 in words is "one hundred fifty-two million, nine hundred seventy-two thousand, nine hundred thirty-three".

Divisors: 1 19 61 89 1159 1483 1691 5429 28177 90463 103151 131987 1718797 2507753 8051207 152972933