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696889424 = 247113171257
BaseRepresentation
bin101001100010011…
…011000001010000
31210120022122120102
4221202123001100
52411400430144
6153052431532
723161314410
oct5142330120
91716278512
10696889424
11328415380
121754785a8
13b14c060a
14687a8640
15412aab4e
hex2989b050

696889424 has 160 divisors (see below), whose sum is σ = 1769029632. Its totient is φ = 258048000.

The previous prime is 696889399. The next prime is 696889439. The reversal of 696889424 is 424988696.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 696889424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2711504 + ... + 2711760.

Almost surely, 2696889424 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 696889424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884514816).

696889424 is an abundant number, since it is smaller than the sum of its proper divisors (1072140208).

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

696889424 is a wasteful number, since it uses less digits than its factorization.

696889424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 56.

The square root of 696889424 is about 26398.6632994930. The cubic root of 696889424 is about 886.5868617440.

The spelling of 696889424 in words is "six hundred ninety-six million, eight hundred eighty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 71 77 88 112 124 142 154 176 217 248 257 284 308 341 434 496 497 514 568 616 682 781 868 994 1028 1136 1232 1364 1562 1736 1799 1988 2056 2201 2387 2728 2827 3124 3472 3598 3976 4112 4402 4774 5456 5467 5654 6248 7196 7952 7967 8804 9548 10934 11308 12496 14392 15407 15934 17608 18247 19096 19789 21868 22616 24211 28784 30814 31868 35216 36494 38192 39578 43736 45232 48422 55769 61628 63736 72988 79156 87472 87637 96844 111538 123256 127472 127729 145976 158312 169477 175274 193688 200717 223076 246512 255458 291952 316624 338954 350548 387376 401434 446152 510916 565657 613459 677908 701096 802868 892304 1021832 1131314 1226918 1355816 1402192 1405019 1605736 2043664 2262628 2453836 2711632 2810038 3211472 3959599 4525256 4907672 5620076 6222227 7919198 9050512 9815344 11240152 12444454 15838396 22480304 24888908 31676792 43555589 49777816 63353584 87111178 99555632 174222356 348444712 696889424