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1564633056 = 25372980287
BaseRepresentation
bin101110101000010…
…0110011111100000
311001001010121001110
41131100212133200
511201021224211
6415131303320
753526106260
oct13520463740
94031117043
101564633056
11733215a78
12377baab40
131bc201c9c
1410bb297a0
1592564ea6
hex5d4267e0

1564633056 has 96 divisors (see below), whose sum is σ = 4855818240. Its totient is φ = 431617536.

The previous prime is 1564633039. The next prime is 1564633061. The reversal of 1564633056 is 6503364651.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20656 + ... + 59631.

It is an arithmetic number, because the mean of its divisors is an integer number (50581440).

Almost surely, 21564633056 is an apocalyptic number.

1564633056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1564633056 is an abundant number, since it is smaller than the sum of its proper divisors (3291185184).

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

1564633056 is a wasteful number, since it uses less digits than its factorization.

1564633056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80336 (or 80328 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The square root of 1564633056 is about 39555.4428113250. The cubic root of 1564633056 is about 1160.9250093078.

The spelling of 1564633056 in words is "one billion, five hundred sixty-four million, six hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 6496 9744 19488 80287 160574 240861 321148 481722 562009 642296 963444 1124018 1284592 1686027 1926888 2248036 2328323 2569184 3372054 3853776 4496072 4656646 6744108 6984969 7707552 8992144 9313292 13488216 13969938 16298261 17984288 18626584 26976432 27939876 32596522 37253168 48894783 53952864 55879752 65193044 74506336 97789566 111759504 130386088 195579132 223519008 260772176 391158264 521544352 782316528 1564633056