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5607880832 = 271091133557
BaseRepresentation
bin1010011100100000…
…10111100010000000
3112110211012212022002
411032100113202000
542441104141312
62324244203132
7255653125541
oct51620274200
915424185262
105607880832
112418558964
1211060994a8
136b4a865a8
143b2ada4c8
1522c4ce4c2
hex14e417880

5607880832 has 64 divisors (see below), whose sum is σ = 11377416600. Its totient is φ = 2752856064.

The previous prime is 5607880801. The next prime is 5607880841. The reversal of 5607880832 is 2380887065.

It can be written as a sum of positive squares in 4 ways, for example, as 2545807936 + 3062072896 = 50456^2 + 55336^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 1574798 + ... + 1578354.

Almost surely, 25607880832 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 5607880832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688708300).

5607880832 is an abundant number, since it is smaller than the sum of its proper divisors (5769535768).

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

5607880832 is a wasteful number, since it uses less digits than its factorization.

5607880832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3793 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 5607880832 is about 74885.7852466007. The cubic root of 5607880832 is about 1776.6406394808.

The spelling of 5607880832 in words is "five billion, six hundred seven million, eight hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 109 113 128 218 226 436 452 872 904 1744 1808 3488 3557 3616 6976 7114 7232 12317 13952 14228 14464 24634 28456 49268 56912 98536 113824 197072 227648 387713 394144 401941 455296 775426 788288 803882 1550852 1576576 1607764 3101704 3215528 6203408 6431056 12406816 12862112 24813632 25724224 43811569 49627264 51448448 87623138 175246276 350492552 700985104 1401970208 2803940416 5607880832