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2456040768 = 263103124193
BaseRepresentation
bin1001001001100100…
…0011010101000000
320100011110210112220
42102121003111000
520012221301033
61043413251040
7114602000466
oct22231032500
96304423486
102456040768
111050409865
12586633a80
13301aaa77c
1419428a836
15e5945bb3
hex92643540

2456040768 has 56 divisors (see below), whose sum is σ = 6561417408. Its totient is φ = 810725376.

The previous prime is 2456040767. The next prime is 2456040781. The reversal of 2456040768 is 8670406542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2456040767) by changing a digit.

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, 42321 + ... + 81872.

It is an arithmetic number, because the mean of its divisors is an integer number (117168168).

Almost surely, 22456040768 is an apocalyptic number.

It is an amenable number.

2456040768 is an abundant number, since it is smaller than the sum of its proper divisors (4105376640).

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

2456040768 is a wasteful number, since it uses less digits than its factorization.

2456040768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124311 (or 124301 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 2456040768 is about 49558.4580873941. The cubic root of 2456040768 is about 1349.2068075765.

The spelling of 2456040768 in words is "two billion, four hundred fifty-six million, forty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 824 1236 1648 2472 3296 4944 6592 9888 19776 124193 248386 372579 496772 745158 993544 1490316 1987088 2980632 3974176 5961264 7948352 11922528 12791879 23845056 25583758 38375637 51167516 76751274 102335032 153502548 204670064 307005096 409340128 614010192 818680256 1228020384 2456040768