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256515864 = 23311971651
BaseRepresentation
bin11110100101000…
…01111100011000
3122212200100121120
433102201330120
51011132001424
641242005240
76233230443
oct1722417430
9585610546
10256515864
11121884190
1271aa6820
13411b4447
14260d465a
15177bea79
hexf4a1f18

256515864 has 32 divisors (see below), whose sum is σ = 699589440. Its totient is φ = 77732000.

The previous prime is 256515851. The next prime is 256515869. The reversal of 256515864 is 468515652.

256515864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256515869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485562 + ... + 486089.

It is an arithmetic number, because the mean of its divisors is an integer number (21862170).

Almost surely, 2256515864 is an apocalyptic number.

256515864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256515864 is an abundant number, since it is smaller than the sum of its proper divisors (443073576).

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

256515864 is a wasteful number, since it uses less digits than its factorization.

256515864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971671 (or 971667 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The square root of 256515864 is about 16016.1126369666. The cubic root of 256515864 is about 635.3866362191.

The spelling of 256515864 in words is "two hundred fifty-six million, five hundred fifteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 971651 1943302 2914953 3886604 5829906 7773208 10688161 11659812 21376322 23319624 32064483 42752644 64128966 85505288 128257932 256515864