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814913512 = 237211318397
BaseRepresentation
bin110000100100101…
…001011111101000
32002210101220011221
4300210221133220
53132104213022
6212510231424
726123436100
oct6044513750
92083356157
10814913512
11388aa7646
121a8ab5574
13ccaa505a
147a32c200
154b820cc7
hex309297e8

814913512 has 48 divisors (see below), whose sum is σ = 1793253060. Its totient is φ = 346139136.

The previous prime is 814913509. The next prime is 814913521. The reversal of 814913512 is 215319418.

It can be written as a sum of positive squares in 2 ways, for example, as 808492356 + 6421156 = 28434^2 + 2534^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35098 + ... + 53494.

Almost surely, 2814913512 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 814913512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896626530).

814913512 is an abundant number, since it is smaller than the sum of its proper divisors (978339548).

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

814913512 is a wasteful number, since it uses less digits than its factorization.

814913512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18530 (or 18519 counting only the distinct ones).

The product of its digits is 8640, while the sum is 34.

The square root of 814913512 is about 28546.6900357992. The cubic root of 814913512 is about 934.0508205225.

The spelling of 814913512 in words is "eight hundred fourteen million, nine hundred thirteen thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 113 196 226 392 452 791 904 1582 3164 5537 6328 11074 18397 22148 36794 44296 73588 128779 147176 257558 515116 901453 1030232 1802906 2078861 3605812 4157722 7211624 8315444 14552027 16630888 29104054 58208108 101864189 116416216 203728378 407456756 814913512