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2687592964 = 2274234
BaseRepresentation
bin1010000000110001…
…0110101000000100
320221022011212110011
42200030112220010
521001010433324
61122404240004
7123413110000
oct24014265004
96838155404
102687592964
11115a092411
126300a0004
1333aa613c4
141b6d23700
1510ae33c94
hexa0316a04

2687592964 has 75 divisors (see below), whose sum is σ = 5736243527. Its totient is φ = 1101746184.

The previous prime is 2687592911. The next prime is 2687592989. The reversal of 2687592964 is 4692957862.

The square root of 2687592964 is 51842.

It is a perfect power (a square), and thus also a powerful number.

It is an ABA number since it can be written as A⋅BA, here for A=4, B=161.

Its product of digits (13063680) is a multiple of the sum of its prime divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 2687592899 and 2687592908.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 116851857 + ... + 116851879.

Almost surely, 22687592964 is an apocalyptic number.

2687592964 is the 51842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2687592964

2687592964 is an abundant number, since it is smaller than the sum of its proper divisors (3048650563).

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

2687592964 is an frugal number, since it uses more digits than its factorization.

2687592964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 32 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 58.

The cubic root of 2687592964 is about 1390.3404724683.

The spelling of 2687592964 in words is "two billion, six hundred eighty-seven million, five hundred ninety-two thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 343 529 644 686 1058 1127 1372 2116 2254 2401 3703 4508 4802 7406 7889 9604 12167 14812 15778 24334 25921 31556 48668 51842 55223 85169 103684 110446 170338 181447 220892 279841 340676 362894 559682 596183 725788 1119364 1192366 1270129 1958887 2384732 2540258 3917774 4173281 5080516 7835548 8346562 13712209 16693124 27424418 29212967 54848836 58425934 95985463 116851868 191970926 383941852 671898241 1343796482 2687592964