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2386920768 = 26317731287
BaseRepresentation
bin1000111001000101…
…1000010101000000
320011100102010201220
42032101120111000
514342022431033
61032503555040
7113102330451
oct21621302500
96140363656
102386920768
1110153999a1
1256745ba80
132c068966b
14189017128
15de840bb3
hex8e458540

2386920768 has 56 divisors (see below), whose sum is σ = 6686897472. Its totient is φ = 748836864.

The previous prime is 2386920763. The next prime is 2386920793. The reversal of 2386920768 is 8670296832.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2386920768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2386920763) 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, 362380 + ... + 368907.

Almost surely, 22386920768 is an apocalyptic number.

It is an amenable number.

2386920768 is an abundant number, since it is smaller than the sum of its proper divisors (4299976704).

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

2386920768 is a wasteful number, since it uses less digits than its factorization.

2386920768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731319 (or 731309 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 2386920768 is about 48856.1231372282. The cubic root of 2386920768 is about 1336.4293383892.

The spelling of 2386920768 in words is "two billion, three hundred eighty-six million, nine hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 731287 1462574 2193861 2925148 4387722 5850296 8775444 11700592 12431879 17550888 23401184 24863758 35101776 37295637 46802368 49727516 70203552 74591274 99455032 140407104 149182548 198910064 298365096 397820128 596730192 795640256 1193460384 2386920768