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152475312 = 243111716987
BaseRepresentation
bin10010001011010…
…01011010110000
3101121220112210210
421011221122300
5303013202222
623044024120
73531006303
oct1105513260
9347815723
10152475312
1179082a60
1243092040
13257877a2
1416370b3a
15d5bcd0c
hex91696b0

152475312 has 80 divisors (see below), whose sum is σ = 455006592. Its totient is φ = 43484160.

The previous prime is 152475287. The next prime is 152475331. The reversal of 152475312 is 213574251.

It is a self number, because there is not a number n which added to its sum of digits gives 152475312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483 + ... + 17469.

Almost surely, 2152475312 is an apocalyptic number.

152475312 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 152475312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227503296).

152475312 is an abundant number, since it is smaller than the sum of its proper divisors (302531280).

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

152475312 is a wasteful number, since it uses less digits than its factorization.

152475312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17026 (or 17020 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 152475312 is about 12348.0894068678. The cubic root of 152475312 is about 534.2360330683.

The spelling of 152475312 in words is "one hundred fifty-two million, four hundred seventy-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 8976 16987 33974 50961 67948 101922 135896 186857 203844 271792 288779 373714 407688 560571 577558 747428 815376 866337 1121142 1155116 1494856 1732674 2242284 2310232 2989712 3176569 3465348 4484568 4620464 6353138 6930696 8969136 9529707 12706276 13861392 19059414 25412552 38118828 50825104 76237656 152475312