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564818240 = 2657252151
BaseRepresentation
bin100001101010100…
…111000101000000
31110100210201222002
4201222213011000
52124043140430
6132014003132
716665606260
oct4152470500
91410721862
10564818240
1126a909338
121391a64a8
139002b19c
14550297a0
15348bd845
hex21aa7140

564818240 has 56 divisors (see below), whose sum is σ = 1537118592. Its totient is φ = 193651200.

The previous prime is 564818213. The next prime is 564818249. The reversal of 564818240 is 42818465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 564818194 and 564818203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564818249) 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, 123836 + ... + 128315.

Almost surely, 2564818240 is an apocalyptic number.

It is an amenable number.

564818240 is an abundant number, since it is smaller than the sum of its proper divisors (972300352).

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

564818240 is a wasteful number, since it uses less digits than its factorization.

564818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252175 (or 252165 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 564818240 is about 23765.9049901324. The cubic root of 564818240 is about 826.6142815689.

The spelling of 564818240 in words is "five hundred sixty-four million, eight hundred eighteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 252151 504302 1008604 1260755 1765057 2017208 2521510 3530114 4034416 5043020 7060228 8068832 8825285 10086040 14120456 16137664 17650570 20172080 28240912 35301140 40344160 56481824 70602280 80688320 112963648 141204560 282409120 564818240