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152856528 = 243112341307
BaseRepresentation
bin10010001110001…
…10011111010000
3101122121220201220
421013012133100
5303112402103
623100125040
73534154566
oct1107063720
9348556656
10152856528
1179313410
1243236780
132588c166
141642da36
15d645c53
hex91c67d0

152856528 has 160 divisors (see below), whose sum is σ = 461970432. Its totient is φ = 43084800.

The previous prime is 152856527. The next prime is 152856553. The reversal of 152856528 is 825658251.

It is a self number, because there is not a number n which added to its sum of digits gives 152856528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152856523) 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 31 ways as a sum of consecutive naturals, for example, 497751 + ... + 498057.

Almost surely, 2152856528 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 152856528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230985216).

152856528 is an abundant number, since it is smaller than the sum of its proper divisors (309113904).

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

152856528 is a wasteful number, since it uses less digits than its factorization.

152856528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 387 counting only the distinct ones).

The product of its digits is 192000, while the sum is 42.

The square root of 152856528 is about 12363.5160047618. The cubic root of 152856528 is about 534.6808916005.

The spelling of 152856528 in words is "one hundred fifty-two million, eight hundred fifty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 41 44 46 48 66 69 82 88 92 123 132 138 164 176 184 246 253 264 276 307 328 368 451 492 506 528 552 614 656 759 902 921 943 984 1012 1104 1228 1353 1518 1804 1842 1886 1968 2024 2456 2706 2829 3036 3377 3608 3684 3772 4048 4912 5412 5658 6072 6754 7061 7216 7368 7544 10131 10373 10824 11316 12144 12587 13508 14122 14736 15088 20262 20746 21183 21648 22632 25174 27016 28244 31119 37761 40524 41492 42366 45264 50348 54032 56488 62238 75522 77671 81048 82984 84732 100696 112976 124476 138457 151044 155342 162096 165968 169464 201392 233013 248952 276914 289501 302088 310684 338928 415371 466026 497904 553828 579002 604176 621368 830742 868503 932052 1107656 1158004 1242736 1661484 1737006 1864104 2215312 2316008 3184511 3322968 3474012 3728208 4632016 6369022 6645936 6948024 9553533 12738044 13896048 19107066 25476088 38214132 50952176 76428264 152856528