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512083872 = 25321778069
BaseRepresentation
bin11110100001011…
…100011110100000
31022200120120000100
4132201130132200
52022043140442
6122451422400
715455432616
oct3641343640
91280516010
10512083872
11243070213
121235b4a00
1382126311
144c01d6b6
152ee5384c
hex1e85c7a0

512083872 has 36 divisors (see below), whose sum is σ = 1456239330. Its totient is φ = 170694528.

The previous prime is 512083849. The next prime is 512083903. The reversal of 512083872 is 278380215.

It can be written as a sum of positive squares in only one way, i.e., 483824016 + 28259856 = 21996^2 + 5316^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 888747 + ... + 889322.

Almost surely, 2512083872 is an apocalyptic number.

It is an amenable number.

512083872 is an abundant number, since it is smaller than the sum of its proper divisors (944155458).

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

512083872 is a wasteful number, since it uses less digits than its factorization.

512083872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778085 (or 1778074 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 512083872 is about 22629.2702489497. The cubic root of 512083872 is about 800.0436809483.

The spelling of 512083872 in words is "five hundred twelve million, eighty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1778069 3556138 5334207 7112276 10668414 14224552 16002621 21336828 28449104 32005242 42673656 56898208 64010484 85347312 128020968 170694624 256041936 512083872