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2490582144 = 27317381523
BaseRepresentation
bin1001010001110011…
…0100010010000000
320102120110200102010
42110130310102000
520100042112034
61051045452520
7115501412301
oct22434642200
96376420363
102490582144
111068961256
12596111140
13308cb285b
14198abc7a8
15e89ba3e9
hex94734480

2490582144 has 64 divisors (see below), whose sum is σ = 7004780640. Its totient is φ = 781357056.

The previous prime is 2490582139. The next prime is 2490582151. The reversal of 2490582144 is 4412850942.

It is a tau number, because it is divible by the number of its divisors (64).

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, 184234 + ... + 197289.

Almost surely, 22490582144 is an apocalyptic number.

2490582144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2490582144 is an abundant number, since it is smaller than the sum of its proper divisors (4514198496).

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

2490582144 is a wasteful number, since it uses less digits than its factorization.

2490582144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381557 (or 381545 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 2490582144 is about 49905.7325765287. The cubic root of 2490582144 is about 1355.5023974536.

The spelling of 2490582144 in words is "two billion, four hundred ninety million, five hundred eighty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 381523 763046 1144569 1526092 2289138 3052184 4578276 6104368 6485891 9156552 12208736 12971782 18313104 19457673 24417472 25943564 36626208 38915346 48834944 51887128 73252416 77830692 103774256 146504832 155661384 207548512 311322768 415097024 622645536 830194048 1245291072 2490582144