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152316008 = 23131924057
BaseRepresentation
bin10010001010000…
…10100001101000
3101121121110021122
421011002201220
5302443103013
623040354412
73526443665
oct1105024150
9347543248
10152316008
1178a842a9
1243015a08
1325730120
141632ca6c
15d58aa08
hex9142868

152316008 has 48 divisors (see below), whose sum is σ = 324680580. Its totient is φ = 66583296.

The previous prime is 152316007. The next prime is 152316023. The reversal of 152316008 is 800613251.

It can be written as a sum of positive squares in 2 ways, for example, as 146942884 + 5373124 = 12122^2 + 2318^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

152316008 is a modest number, since divided by 316008 gives 152 as remainder.

It is not an unprimeable number, because it can be changed into a prime (152316001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35516 + ... + 39572.

Almost surely, 2152316008 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 152316008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162340290).

152316008 is an abundant number, since it is smaller than the sum of its proper divisors (172364572).

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

152316008 is a wasteful number, since it uses less digits than its factorization.

152316008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 152316008 is about 12341.6371685445. The cubic root of 152316008 is about 534.0499142091.

Adding to 152316008 its reverse (800613251), we get a palindrome (952929259).

The spelling of 152316008 in words is "one hundred fifty-two million, three hundred sixteen thousand, eight".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 361 494 722 988 1444 1976 2888 4057 4693 8114 9386 16228 18772 32456 37544 52741 77083 105482 154166 210964 308332 421928 616664 1002079 1464577 2004158 2929154 4008316 5858308 8016632 11716616 19039501 38079002 76158004 152316008