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152790928 = 2441892617
BaseRepresentation
bin10010001101101…
…10011110010000
3101122111120202021
421012312132100
5303103302203
623054501224
73533462413
oct1106663620
9348446667
10152790928
11792790a4
1243204814
1325868344
1416413b7a
15d6315bd
hex91b6790

152790928 has 40 divisors (see below), whose sum is σ = 306777240. Its totient is φ = 73666560.

The previous prime is 152790923. The next prime is 152790929. The reversal of 152790928 is 829097251.

It can be written as a sum of positive squares in 4 ways, for example, as 10036224 + 142754704 = 3168^2 + 11948^2 .

It is not an unprimeable number, because it can be changed into a prime (152790923) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 57076 + ... + 59692.

It is an arithmetic number, because the mean of its divisors is an integer number (7669431).

Almost surely, 2152790928 is an apocalyptic number.

It is an amenable number.

152790928 is an abundant number, since it is smaller than the sum of its proper divisors (153986312).

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

152790928 is a wasteful number, since it uses less digits than its factorization.

152790928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The square root of 152790928 is about 12360.8627530606. The cubic root of 152790928 is about 534.6043926644.

The spelling of 152790928 in words is "one hundred fifty-two million, seven hundred ninety thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 41 82 89 164 178 328 356 656 712 1424 2617 3649 5234 7298 10468 14596 20936 29192 41872 58384 107297 214594 232913 429188 465826 858376 931652 1716752 1863304 3726608 9549433 19098866 38197732 76395464 152790928