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560645664 = 25331188389
BaseRepresentation
bin100001011010101…
…100011000100000
31110001221202021020
4201122230120200
52122011130124
6131344325440
716615260315
oct4132543040
91401852236
10560645664
11268519427
12137913880
138c1c9bc7
1454660d0c
1534347379
hex216ac620

560645664 has 48 divisors (see below), whose sum is σ = 1519176960. Its totient is φ = 180852480.

The previous prime is 560645663. The next prime is 560645681. The reversal of 560645664 is 466546065.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (560645663) 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, 91219 + ... + 97170.

It is an arithmetic number, because the mean of its divisors is an integer number (31649520).

Almost surely, 2560645664 is an apocalyptic number.

It is an amenable number.

560645664 is an abundant number, since it is smaller than the sum of its proper divisors (958531296).

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

560645664 is a wasteful number, since it uses less digits than its factorization.

560645664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188433 (or 188425 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 560645664 is about 23677.9573443319. The cubic root of 560645664 is about 824.5737199062.

The spelling of 560645664 in words is "five hundred sixty million, six hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 188389 376778 565167 753556 1130334 1507112 2260668 3014224 4521336 5840059 6028448 9042672 11680118 17520177 18085344 23360236 35040354 46720472 70080708 93440944 140161416 186881888 280322832 560645664