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153742392 = 23323168881
BaseRepresentation
bin10010010100111…
…10110000111000
3101201021220220200
421022132300320
5303324224032
623131122200
73544534356
oct1112366070
9351256820
10153742392
1179868a31
12435a3360
1325b0c43b
14165c07d6
15d76d47c
hex929ec38

153742392 has 48 divisors (see below), whose sum is σ = 429823680. Its totient is φ = 49593600.

The previous prime is 153742349. The next prime is 153742397. The reversal of 153742392 is 293247351.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153742397) 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 11 ways as a sum of consecutive naturals, for example, 32209 + ... + 36672.

It is an arithmetic number, because the mean of its divisors is an integer number (8954660).

Almost surely, 2153742392 is an apocalyptic number.

153742392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153742392 is an abundant number, since it is smaller than the sum of its proper divisors (276081288).

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

153742392 is a wasteful number, since it uses less digits than its factorization.

153742392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68924 (or 68917 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 153742392 is about 12399.2899796722. The cubic root of 153742392 is about 535.7117983580.

It can be divided in two parts, 15374239 and 2, that added together give a square (15374241 = 39212).

The spelling of 153742392 in words is "one hundred fifty-three million, seven hundred forty-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 68881 137762 206643 275524 413286 551048 619929 826572 1239858 1653144 2135311 2479716 4270622 4959432 6405933 8541244 12811866 17082488 19217799 25623732 38435598 51247464 76871196 153742392