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150314892 = 223713179769
BaseRepresentation
bin10001111010110…
…01111110001100
3101110211210021020
420331121332030
5301440034032
622525434140
73503440560
oct1075317614
9343753236
10150314892
1177937892
124240b950
13251ac330
1415d6b6a0
15d2e2b2c
hex8f59f8c

150314892 has 96 divisors (see below), whose sum is σ = 434649600. Its totient is φ = 39370752.

The previous prime is 150314891. The next prime is 150314921. The reversal of 150314892 is 298413051.

It is not an unprimeable number, because it can be changed into a prime (150314891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195084 + ... + 195852.

It is an arithmetic number, because the mean of its divisors is an integer number (4527600).

Almost surely, 2150314892 is an apocalyptic number.

150314892 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 150314892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217324800).

150314892 is an abundant number, since it is smaller than the sum of its proper divisors (284334708).

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

150314892 is a wasteful number, since it uses less digits than its factorization.

150314892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 150314892 is about 12260.2973862790. The cubic root of 150314892 is about 531.7008277016.

The spelling of 150314892 in words is "one hundred fifty million, three hundred fourteen thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 179 182 273 358 364 537 546 716 769 1074 1092 1253 1538 2148 2307 2327 2506 3076 3759 4614 4654 5012 5383 6981 7518 9228 9308 9997 10766 13962 15036 16149 16289 19994 21532 27924 29991 32298 32578 39988 48867 59982 64596 65156 69979 97734 119964 137651 139958 195468 209937 275302 279916 412953 419874 550604 825906 839748 963557 1651812 1789463 1927114 2890671 3578926 3854228 5368389 5781342 7157852 10736778 11562684 12526241 21473556 25052482 37578723 50104964 75157446 150314892