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152927808 = 263111937103
BaseRepresentation
bin10010001110101…
…11111001000000
3101122202112111220
421013113321000
5303122142213
623101435040
73534602445
oct1107277100
9348675456
10152927808
1179361a20
124326ba80
13258b5737
141644b9cc
15d65be23
hex91d7e40

152927808 has 224 divisors, whose sum is σ = 481827840. Its totient is φ = 42301440.

The previous prime is 152927791. The next prime is 152927821. The reversal of 152927808 is 808729251.

It is a self number, because there is not a number n which added to its sum of digits gives 152927808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1484685 + ... + 1484787.

Almost surely, 2152927808 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 152927808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240913920).

152927808 is an abundant number, since it is smaller than the sum of its proper divisors (328900032).

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

152927808 is a wasteful number, since it uses less digits than its factorization.

152927808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 152927808 is about 12366.3983438995. The cubic root of 152927808 is about 534.7639894175.

It can be divided in two parts, 152927 and 808, that added together give a triangular number (153735 = T554).

The spelling of 152927808 in words is "one hundred fifty-two million, nine hundred twenty-seven thousand, eight hundred eight".