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150458568 = 2331317191493
BaseRepresentation
bin10001111011111…
…01000011001000
3101111010002100120
420331331003020
5302004133233
622532503240
73504606501
oct1075750310
9344102316
10150458568
1177a25827
124247ab20
132522c850
1415da7ba8
15d3204b3
hex8f7d0c8

150458568 has 128 divisors (see below), whose sum is σ = 451785600. Its totient is φ = 41250816.

The previous prime is 150458563. The next prime is 150458597. The reversal of 150458568 is 865854051.

150458568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1504585682 = 45275561369221248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150458563) 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, 100030 + ... + 101522.

It is an arithmetic number, because the mean of its divisors is an integer number (3529575).

Almost surely, 2150458568 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 150458568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225892800).

150458568 is an abundant number, since it is smaller than the sum of its proper divisors (301327032).

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

150458568 is a wasteful number, since it uses less digits than its factorization.

150458568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The square root of 150458568 is about 12266.1553878956. The cubic root of 150458568 is about 531.8701795657.

The spelling of 150458568 in words is "one hundred fifty million, four hundred fifty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 17 19 24 26 34 38 39 51 52 57 68 76 78 102 104 114 136 152 156 204 221 228 247 312 323 408 442 456 494 646 663 741 884 969 988 1292 1326 1482 1493 1768 1938 1976 2584 2652 2964 2986 3876 4199 4479 5304 5928 5972 7752 8398 8958 11944 12597 16796 17916 19409 25194 25381 28367 33592 35832 38818 50388 50762 56734 58227 76143 77636 85101 100776 101524 113468 116454 152286 155272 170202 203048 226936 232908 304572 329953 340404 368771 465816 482239 609144 659906 680808 737542 964478 989859 1106313 1319812 1446717 1475084 1928956 1979718 2212626 2639624 2893434 2950168 3857912 3959436 4425252 5786868 6269107 7918872 8850504 11573736 12538214 18807321 25076428 37614642 50152856 75229284 150458568