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256730464 = 2517471931
BaseRepresentation
bin11110100110101…
…10010101100000
3122220002020222201
433103112111200
51011210333324
641250342544
76235113214
oct1723262540
9586066881
10256730464
11121a10441
1271b8aa54
134125b023
142614c944
1517813444
hexf4d6560

256730464 has 24 divisors (see below), whose sum is σ = 535170888. Its totient is φ = 120814080.

The previous prime is 256730459. The next prime is 256730473. The reversal of 256730464 is 464037652.

256730464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2567304642 = 131821062291310592, which contains 22 as substring.

It is a congruent number.

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, 235422 + ... + 236509.

It is an arithmetic number, because the mean of its divisors is an integer number (22298787).

Almost surely, 2256730464 is an apocalyptic number.

It is an amenable number.

256730464 is an abundant number, since it is smaller than the sum of its proper divisors (278440424).

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

256730464 is a wasteful number, since it uses less digits than its factorization.

256730464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471958 (or 471950 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The square root of 256730464 is about 16022.8107396923. The cubic root of 256730464 is about 635.5637740165.

The spelling of 256730464 in words is "two hundred fifty-six million, seven hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 471931 943862 1887724 3775448 7550896 8022827 15101792 16045654 32091308 64182616 128365232 256730464