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679890432 = 2931379431
BaseRepresentation
bin101000100001100…
…100111000000000
31202101100000100010
4220201210320000
52343022443212
6151244224520
722563654564
oct5041447000
91671300303
10679890432
11319864821
1216b83b140
13aab1b140
14664216a4
153ea4e03c
hex28864e00

679890432 has 160 divisors (see below), whose sum is σ = 1979873280. Its totient is φ = 206069760.

The previous prime is 679890397. The next prime is 679890457. The reversal of 679890432 is 234098976.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1577257 + ... + 1577687.

It is an arithmetic number, because the mean of its divisors is an integer number (12374208).

Almost surely, 2679890432 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 679890432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989936640).

679890432 is an abundant number, since it is smaller than the sum of its proper divisors (1299982848).

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

679890432 is a wasteful number, since it uses less digits than its factorization.

679890432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 679890432 is about 26074.7086656783. The cubic root of 679890432 is about 879.3187013228.

The spelling of 679890432 in words is "six hundred seventy-nine million, eight hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 128 156 158 192 208 237 256 312 316 384 416 431 474 512 624 632 768 832 862 948 1027 1248 1264 1293 1536 1664 1724 1896 2054 2496 2528 2586 3081 3328 3448 3792 4108 4992 5056 5172 5603 6162 6656 6896 7584 8216 9984 10112 10344 11206 12324 13792 15168 16432 16809 19968 20224 20688 22412 24648 27584 30336 32864 33618 34049 40448 41376 44824 49296 55168 60672 65728 67236 68098 82752 89648 98592 102147 110336 121344 131456 134472 136196 165504 179296 197184 204294 220672 262912 268944 272392 331008 358592 394368 408588 442637 525824 537888 544784 662016 717184 788736 817176 885274 1075776 1089568 1327911 1434368 1577472 1634352 1770548 2151552 2179136 2655822 2868736 3268704 3541096 4303104 4358272 5311644 6537408 7082192 8606208 8716544 10623288 13074816 14164384 17433088 21246576 26149632 28328768 42493152 52299264 56657536 84986304 113315072 169972608 226630144 339945216 679890432