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2531385808 = 247196119501
BaseRepresentation
bin1001011011100001…
…1110000111010000
320112102020201111221
42112320132013100
520141013321213
61055104214424
7116505265360
oct22670360720
96472221457
102531385808
1110899a0696
125a790a414
1331459b133
141a02a09a0
15ec37a38d
hex96e1e1d0

2531385808 has 80 divisors (see below), whose sum is σ = 5997255040. Its totient is φ = 1010880000.

The previous prime is 2531385763. The next prime is 2531385809. The reversal of 2531385808 is 8085831352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2531385809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120058 + ... + 139558.

It is an arithmetic number, because the mean of its divisors is an integer number (74965688).

Almost surely, 22531385808 is an apocalyptic number.

2531385808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2531385808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998627520).

2531385808 is an abundant number, since it is smaller than the sum of its proper divisors (3465869232).

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

2531385808 is a wasteful number, since it uses less digits than its factorization.

2531385808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19596 (or 19590 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 2531385808 is about 50312.8791463975. The cubic root of 2531385808 is about 1362.8648174735.

The spelling of 2531385808 in words is "two billion, five hundred thirty-one million, three hundred eighty-five thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 61 76 112 122 133 152 244 266 304 427 488 532 854 976 1064 1159 1708 2128 2318 3416 4636 6832 8113 9272 16226 18544 19501 32452 39002 64904 78004 129808 136507 156008 273014 312016 370519 546028 741038 1092056 1189561 1482076 2184112 2379122 2593633 2964152 4758244 5187266 5928304 8326927 9516488 10374532 16653854 19032976 20749064 22601659 33307708 41498128 45203318 66615416 90406636 133230832 158211613 180813272 316423226 361626544 632846452 1265692904 2531385808