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159428864 = 287432069
BaseRepresentation
bin10011000000010…
…11000100000000
3102002222211021202
421200023010000
5311303210424
623453040332
73644060120
oct1140130400
9362884252
10159428864
1181aa22a1
12454860a8
132705080a
1417260c80
15dee32ae
hex980b100

159428864 has 72 divisors (see below), whose sum is σ = 372335040. Its totient is φ = 66705408.

The previous prime is 159428851. The next prime is 159428881. The reversal of 159428864 is 468824951.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76022 + ... + 78090.

It is an arithmetic number, because the mean of its divisors is an integer number (5171320).

Almost surely, 2159428864 is an apocalyptic number.

159428864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186167520).

159428864 is an abundant number, since it is smaller than the sum of its proper divisors (212906176).

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

159428864 is an equidigital number, since it uses as much as digits as its factorization.

159428864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2121 counting only the distinct ones).

The product of its digits is 552960, while the sum is 47.

The square root of 159428864 is about 12626.5143250226. The cubic root of 159428864 is about 542.2367941777.

The spelling of 159428864 in words is "one hundred fifty-nine million, four hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 256 301 344 448 602 688 896 1204 1376 1792 2069 2408 2752 4138 4816 5504 8276 9632 11008 14483 16552 19264 28966 33104 38528 57932 66208 77056 88967 115864 132416 177934 231728 264832 355868 463456 529664 622769 711736 926912 1245538 1423472 1853824 2491076 2846944 3707648 4982152 5693888 9964304 11387776 19928608 22775552 39857216 79714432 159428864