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513132256 = 25713176213
BaseRepresentation
bin11110100101011…
…100011011100000
31022202112211010101
4132211130123200
52022330213011
6122530112144
715500360260
oct3645343340
91282484111
10513132256
1124371694a
12123a1b654
1382402570
144c2137a0
15300ae2c1
hex1e95c6e0

513132256 has 48 divisors (see below), whose sum is σ = 1243365984. Its totient is φ = 202996224.

The previous prime is 513132253. The next prime is 513132271. The reversal of 513132256 is 652231315.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513132253) 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, 85195 + ... + 91018.

It is an arithmetic number, because the mean of its divisors is an integer number (25903458).

Almost surely, 2513132256 is an apocalyptic number.

513132256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

513132256 is an abundant number, since it is smaller than the sum of its proper divisors (730233728).

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

513132256 is a wasteful number, since it uses less digits than its factorization.

513132256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176243 (or 176235 counting only the distinct ones).

The product of its digits is 5400, while the sum is 28.

The square root of 513132256 is about 22652.4227401839. The cubic root of 513132256 is about 800.5892824928.

The spelling of 513132256 in words is "five hundred thirteen million, one hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 176213 352426 704852 1233491 1409704 2290769 2466982 2819408 4581538 4933964 5638816 9163076 9867928 16035383 18326152 19735856 32070766 36652304 39471712 64141532 73304608 128283064 256566128 513132256