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152920848 = 24317193971
BaseRepresentation
bin10010001110101…
…10001100010000
3101122202011222010
421013112030100
5303121431343
623101342520
73534543243
oct1107261420
9348664863
10152920848
1179357773
1243267a40
13258b2512
141644925a
15d659d33
hex91d6310

152920848 has 80 divisors (see below), whose sum is σ = 420883776. Its totient is φ = 47677440.

The previous prime is 152920843. The next prime is 152920849. The reversal of 152920848 is 848029251.

It is not an unprimeable number, because it can be changed into a prime (152920843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157003 + ... + 157973.

Almost surely, 2152920848 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 152920848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210441888).

152920848 is an abundant number, since it is smaller than the sum of its proper divisors (267962928).

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

152920848 is a wasteful number, since it uses less digits than its factorization.

152920848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 152920848 is about 12366.1169329746. The cubic root of 152920848 is about 534.7558766269.

The spelling of 152920848 in words is "one hundred fifty-two million, nine hundred twenty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 193 204 272 386 408 579 772 816 971 1158 1544 1942 2316 2913 3088 3281 3884 4632 5826 6562 7768 9264 9843 11652 13124 15536 16507 19686 23304 26248 33014 39372 46608 49521 52496 66028 78744 99042 132056 157488 187403 198084 264112 374806 396168 562209 749612 792336 1124418 1499224 2248836 2998448 3185851 4497672 6371702 8995344 9557553 12743404 19115106 25486808 38230212 50973616 76460424 152920848