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460056256 = 2611976737
BaseRepresentation
bin11011011010111…
…110011011000000
31012001200021112121
4123122332123000
51420233300011
6113352334024
714254261612
oct3332763300
91161607477
10460056256
11216765090
1210a0a4314
137440b04a
1445158db2
152a5c7e71
hex1b6be6c0

460056256 has 56 divisors (see below), whose sum is σ = 1006333776. Its totient is φ = 206929920.

The previous prime is 460056221. The next prime is 460056277. The reversal of 460056256 is 652650064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64920 + ... + 71656.

It is an arithmetic number, because the mean of its divisors is an integer number (17970246).

Almost surely, 2460056256 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 460056256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503166888).

460056256 is an abundant number, since it is smaller than the sum of its proper divisors (546277520).

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

460056256 is a wasteful number, since it uses less digits than its factorization.

460056256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6857 (or 6847 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 460056256 is about 21448.9220241951. The cubic root of 460056256 is about 771.9757301291.

The spelling of 460056256 in words is "four hundred sixty million, fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 176 194 352 388 704 776 1067 1552 2134 3104 4268 6208 6737 8536 13474 17072 26948 34144 53896 68288 74107 107792 148214 215584 296428 431168 592856 653489 1185712 1306978 2371424 2613956 4742848 5227912 7188379 10455824 14376758 20911648 28753516 41823296 57507032 115014064 230028128 460056256