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2496280968 = 2332247713997
BaseRepresentation
bin1001010011001010…
…0011100110001000
320102222012012201200
42110302203212020
520103021442333
61051411544200
7115601016036
oct22462434610
96388165650
102496280968
1110710a3925
12597bbb060
1330a22973c
14199763556
15e9243c13
hex94ca3988

2496280968 has 48 divisors (see below), whose sum is σ = 6763973580. Its totient is φ = 831698304.

The previous prime is 2496280957. The next prime is 2496280981. The reversal of 2496280968 is 8690826942.

It is a happy number.

2496280968 is a `hidden beast` number, since 2 + 4 + 9 + 628 + 0 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2496201444 + 79524 = 49962^2 + 282^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171346 + ... + 185342.

Almost surely, 22496280968 is an apocalyptic number.

It is an amenable number.

2496280968 is an abundant number, since it is smaller than the sum of its proper divisors (4267692612).

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

2496280968 is a wasteful number, since it uses less digits than its factorization.

2496280968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16486 (or 16479 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 2496280968 is about 49962.7958385037. The cubic root of 2496280968 is about 1356.5354739015.

The spelling of 2496280968 in words is "two billion, four hundred ninety-six million, two hundred eighty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2477 4954 7431 9908 13997 14862 19816 22293 27994 29724 41991 44586 55988 59448 83982 89172 111976 125973 167964 178344 251946 335928 503892 1007784 34670569 69341138 104011707 138682276 208023414 277364552 312035121 416046828 624070242 832093656 1248140484 2496280968