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152079928 = 237211132713
BaseRepresentation
bin10010001000010…
…00111000111000
3101121011110102221
421010020320320
5302413024203
623031333424
73524441500
oct1104107070
9347143387
10152079928
11789329a0
1242b21274
1325679830
14162aaa00
15d540abd
hex9108e38

152079928 has 96 divisors (see below), whose sum is σ = 389838960. Its totient is φ = 54673920.

The previous prime is 152079923. The next prime is 152079929. The reversal of 152079928 is 829970251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152079923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54700 + ... + 57412.

Almost surely, 2152079928 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 152079928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194919480).

152079928 is an abundant number, since it is smaller than the sum of its proper divisors (237759032).

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

152079928 is a wasteful number, since it uses less digits than its factorization.

152079928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2746 counting only the distinct ones).

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

The square root of 152079928 is about 12332.0690883566. The cubic root of 152079928 is about 533.7738572155.

The spelling of 152079928 in words is "one hundred fifty-two million, seventy-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 49 52 56 77 88 91 98 104 143 154 182 196 286 308 364 392 539 572 616 637 728 1001 1078 1144 1274 2002 2156 2548 2713 4004 4312 5096 5426 7007 8008 10852 14014 18991 21704 28028 29843 35269 37982 56056 59686 70538 75964 119372 132937 141076 151928 208901 238744 246883 265874 282152 387959 417802 493766 531748 775918 835604 987532 1063496 1462307 1551836 1671208 1728181 1975064 2715713 2924614 3103672 3456362 5431426 5849228 6912724 10862852 11698456 13825448 19009991 21725704 38019982 76039964 152079928