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689413712 = 24133123449
BaseRepresentation
bin101001000101111…
…001111001010000
31210001020211211012
4221011321321100
52402442214322
6152224310052
723040630341
oct5105717120
91701224735
10689413712
113241797a9
12172a72328
13acaa3a10
14677c00c8
15407d0ae2
hex29179e50

689413712 has 60 divisors (see below), whose sum is σ = 1486818900. Its totient is φ = 307837440.

The previous prime is 689413693. The next prime is 689413717. The reversal of 689413712 is 217314986.

It can be written as a sum of positive squares in 2 ways, for example, as 36917776 + 652495936 = 6076^2 + 25544^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 689413712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689413717) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198164 + ... + 201612.

It is an arithmetic number, because the mean of its divisors is an integer number (24780315).

Almost surely, 2689413712 is an apocalyptic number.

689413712 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 689413712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743409450).

689413712 is an abundant number, since it is smaller than the sum of its proper divisors (797405188).

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

689413712 is a wasteful number, since it uses less digits than its factorization.

689413712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3495 counting only the distinct ones).

The product of its digits is 72576, while the sum is 41.

The square root of 689413712 is about 26256.6889001641. The cubic root of 689413712 is about 883.4052427358.

The spelling of 689413712 in words is "six hundred eighty-nine million, four hundred thirteen thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 961 1612 1922 3224 3449 3844 6448 6898 7688 12493 13796 15376 24986 27592 44837 49972 55184 89674 99944 106919 179348 199888 213838 358696 427676 717392 855352 1389947 1710704 2779894 3314489 5559788 6628978 11119576 13257956 22239152 26515912 43088357 53031824 86176714 172353428 344706856 689413712