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2375482464 = 2535305489
BaseRepresentation
bin1000110110010110…
…1111110001100000
320010112220000100000
42031211233301200
514331110414324
61031414500000
7112603160565
oct21545576140
96115800300
102375482464
111009997153
12563664600
132bb1b3234
141876ba86c
15dd8319c9
hex8d96fc60

2375482464 has 72 divisors (see below), whose sum is σ = 7005496680. Its totient is φ = 791824896.

The previous prime is 2375482463. The next prime is 2375482489. The reversal of 2375482464 is 4642845732.

It is a happy number.

2375482464 is a `hidden beast` number, since 23 + 7 + 548 + 24 + 64 = 666.

2375482464 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×23754824642 = 11285833873543022592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2375482463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144969 + ... + 160520.

It is an arithmetic number, because the mean of its divisors is an integer number (97298565).

Almost surely, 22375482464 is an apocalyptic number.

2375482464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2375482464 is an abundant number, since it is smaller than the sum of its proper divisors (4630014216).

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

2375482464 is an equidigital number, since it uses as much as digits as its factorization.

2375482464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305514 (or 305494 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 2375482464 is about 48738.9214488790. The cubic root of 2375482464 is about 1334.2911626464.

The spelling of 2375482464 in words is "two billion, three hundred seventy-five million, four hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 305489 610978 916467 1221956 1832934 2443912 2749401 3665868 4887824 5498802 7331736 8248203 9775648 10997604 14663472 16496406 21995208 24744609 29326944 32992812 43990416 49489218 65985624 74233827 87980832 98978436 131971248 148467654 197956872 263942496 296935308 395913744 593870616 791827488 1187741232 2375482464