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151428792 = 233172111759
BaseRepresentation
bin10010000011010…
…01111010111000
3101112221101020210
421001221322320
5302231210132
623005351120
73516060234
oct1101517270
9345841223
10151428792
1178528769
12428684a0
13254ac348
141617b5c4
15d462bcc
hex9069eb8

151428792 has 64 divisors (see below), whose sum is σ = 402969600. Its totient is φ = 47255040.

The previous prime is 151428773. The next prime is 151428817. The reversal of 151428792 is 297824151.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 151428792.

It is a congruent number.

It is an unprimeable number.

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, 85209 + ... + 86967.

It is an arithmetic number, because the mean of its divisors is an integer number (6296400).

Almost surely, 2151428792 is an apocalyptic number.

151428792 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 151428792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201484800).

151428792 is an abundant number, since it is smaller than the sum of its proper divisors (251540808).

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

151428792 is a wasteful number, since it uses less digits than its factorization.

151428792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1992 counting only the distinct ones).

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

The square root of 151428792 is about 12305.6406578447. The cubic root of 151428792 is about 533.0109763811.

The spelling of 151428792 in words is "one hundred fifty-one million, four hundred twenty-eight thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 211 408 422 633 844 1266 1688 1759 2532 3518 3587 5064 5277 7036 7174 10554 10761 14072 14348 21108 21522 28696 29903 42216 43044 59806 86088 89709 119612 179418 239224 358836 371149 717672 742298 1113447 1484596 2226894 2969192 4453788 6309533 8907576 12619066 18928599 25238132 37857198 50476264 75714396 151428792