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256150144 = 275693517
BaseRepresentation
bin11110100010010…
…00101010000000
3122211222202221101
433101020222000
51011033301034
641230104144
76230145265
oct1721105200
9584882841
10256150144
11121654438
127194b054
13410b6b43
142603b26c
151774b514
hexf448a80

256150144 has 32 divisors (see below), whose sum is σ = 511341300. Its totient is φ = 127813632.

The previous prime is 256150129. The next prime is 256150157. The reversal of 256150144 is 441051652.

It can be written as a sum of positive squares in 2 ways, for example, as 253191744 + 2958400 = 15912^2 + 1720^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2561501442 = 131225792542441472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71074 + ... + 74590.

Almost surely, 2256150144 is an apocalyptic number.

It is an amenable number.

256150144 is a deficient number, since it is larger than the sum of its proper divisors (255191156).

256150144 is an equidigital number, since it uses as much as digits as its factorization.

256150144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 256150144 is about 16004.6913122372. The cubic root of 256150144 is about 635.0845312891.

The spelling of 256150144 in words is "two hundred fifty-six million, one hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 569 1138 2276 3517 4552 7034 9104 14068 18208 28136 36416 56272 72832 112544 225088 450176 2001173 4002346 8004692 16009384 32018768 64037536 128075072 256150144