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690841824 = 25319675653
BaseRepresentation
bin101001001011010…
…110100011100000
31210010221101211020
4221023112203200
52403323414244
6152315045440
723056026051
oct5113264340
91703841736
10690841824
11324a64762
12173440880
13b0183a5a
1467a72728
15409b3d19
hex292d68e0

690841824 has 96 divisors (see below), whose sum is σ = 1937738880. Its totient is φ = 214866432.

The previous prime is 690841787. The next prime is 690841831. The reversal of 690841824 is 428148096.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119382 + ... + 125034.

It is an arithmetic number, because the mean of its divisors is an integer number (20184780).

Almost surely, 2690841824 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 690841824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968869440).

690841824 is an abundant number, since it is smaller than the sum of its proper divisors (1246897056).

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

690841824 is a wasteful number, since it uses less digits than its factorization.

690841824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5752 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 690841824 is about 26283.8700346810. The cubic root of 690841824 is about 884.0148097135.

The spelling of 690841824 in words is "six hundred ninety million, eight hundred forty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 67 76 96 114 134 152 201 228 268 304 402 456 536 608 804 912 1072 1273 1608 1824 2144 2546 3216 3819 5092 5653 6432 7638 10184 11306 15276 16959 20368 22612 30552 33918 40736 45224 61104 67836 90448 107407 122208 135672 180896 214814 271344 322221 378751 429628 542688 644442 757502 859256 1136253 1288884 1515004 1718512 2272506 2577768 3030008 3437024 4545012 5155536 6060016 7196269 9090024 10311072 12120032 14392538 18180048 21588807 28785076 36360096 43177614 57570152 86355228 115140304 172710456 230280608 345420912 690841824