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2551515040 = 25517938057
BaseRepresentation
bin1001100000010101…
…0000011110100000
320120211010101122001
42120011100132200
520211141440130
61101103453344
7120141343234
oct23005203640
96524111561
102551515040
11109a29a018
125b25b7254
133187c8319
141a2c205c4
15ee0046ca
hex981507a0

2551515040 has 48 divisors (see below), whose sum is σ = 6382546632. Its totient is φ = 960569344.

The previous prime is 2551514983. The next prime is 2551515089. The reversal of 2551515040 is 405151552.

It can be written as a sum of positive squares in 4 ways, for example, as 2014573456 + 536941584 = 44884^2 + 23172^2 .

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 7 ways as a sum of consecutive naturals, for example, 466309 + ... + 471748.

Almost surely, 22551515040 is an apocalyptic number.

2551515040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2551515040 is an abundant number, since it is smaller than the sum of its proper divisors (3831031592).

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

2551515040 is a wasteful number, since it uses less digits than its factorization.

2551515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938089 (or 938081 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 28.

The square root of 2551515040 is about 50512.5235956391. The cubic root of 2551515040 is about 1366.4677222475.

Adding to 2551515040 its reverse (405151552), we get a palindrome (2956666592).

The spelling of 2551515040 in words is "two billion, five hundred fifty-one million, five hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 938057 1876114 3752228 4690285 7504456 9380570 15008912 15946969 18761140 30017824 31893938 37522280 63787876 75044560 79734845 127575752 150089120 159469690 255151504 318939380 510303008 637878760 1275757520 2551515040