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2587430872 = 2313172312777
BaseRepresentation
bin1001101000111001…
…0000111111011000
320200022201002220001
42122032100333120
520244340241442
61104425342344
7121055541145
oct23216207730
96608632801
102587430872
1111085a0124
126026379b4
13323091bb0
141a78cd3cc
1510224b2b7
hex9a390fd8

2587430872 has 96 divisors (see below), whose sum is σ = 5731125120. Its totient is φ = 1087303680.

The previous prime is 2587430869. The next prime is 2587430893. The reversal of 2587430872 is 2780347852.

2587430872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 930348 + ... + 933124.

It is an arithmetic number, because the mean of its divisors is an integer number (59699220).

Almost surely, 22587430872 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 2587430872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865562560).

2587430872 is an abundant number, since it is smaller than the sum of its proper divisors (3143694248).

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

2587430872 is a wasteful number, since it uses less digits than its factorization.

2587430872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The square root of 2587430872 is about 50866.7953777314. The cubic root of 2587430872 is about 1372.8494641768.

The spelling of 2587430872 in words is "two billion, five hundred eighty-seven million, four hundred thirty thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 17 26 31 34 52 62 68 104 124 136 221 248 289 403 442 527 578 806 884 1054 1156 1612 1768 2108 2312 2777 3224 3757 4216 5554 6851 7514 8959 11108 13702 15028 17918 22216 27404 30056 35836 36101 47209 54808 71672 72202 86087 94418 116467 144404 172174 188836 232934 288808 344348 377672 465868 613717 688696 802553 931736 1119131 1227434 1463479 1605106 2238262 2454868 2926958 3210212 4476524 4909736 5853916 6420424 8953048 10433189 11707832 19025227 20866378 24879143 38050454 41732756 49758286 76100908 83465512 99516572 152201816 199033144 323428859 646857718 1293715436 2587430872