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150012992 = 2623223457
BaseRepresentation
bin10001111000100…
…00010001000000
3101110021110010202
420330100101000
5301400403432
622515144332
73501042443
oct1074202100
9343243122
10150012992
1177750a88
12422a50a8
1325104aac
1415ccd65a
15d283462
hex8f10440

150012992 has 56 divisors (see below), whose sum is σ = 312700416. Its totient is φ = 71267328.

The previous prime is 150012983. The next prime is 150012997. The reversal of 150012992 is 299210051.

It is not an unprimeable number, because it can be changed into a prime (150012997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328028 + ... + 328484.

It is an arithmetic number, because the mean of its divisors is an integer number (5583936).

Almost surely, 2150012992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150012992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156350208).

150012992 is an abundant number, since it is smaller than the sum of its proper divisors (162687424).

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

150012992 is a wasteful number, since it uses less digits than its factorization.

150012992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 29.

The square root of 150012992 is about 12247.9790986105. The cubic root of 150012992 is about 531.3446242153.

The spelling of 150012992 in words is "one hundred fifty million, twelve thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 223 368 446 457 736 892 914 1472 1784 1828 3568 3656 5129 7136 7312 10258 10511 14272 14624 20516 21022 29248 41032 42044 82064 84088 101911 164128 168176 203822 328256 336352 407644 672704 815288 1630576 2343953 3261152 4687906 6522304 9375812 18751624 37503248 75006496 150012992