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564314856 = 23373978461
BaseRepresentation
bin100001101000101…
…100001011101000
31110022212011110020
4201220230023220
52123431033411
6131555120440
716661411550
oct4150541350
91408764406
10564314856
1126a5a5116
12138ba3120
138cbb3021
1454d38160
153481e606
hex21a2c2e8

564314856 has 64 divisors (see below), whose sum is σ = 1616580480. Its totient is φ = 160807680.

The previous prime is 564314851. The next prime is 564314873. The reversal of 564314856 is 658413465.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (564314851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62466 + ... + 70926.

It is an arithmetic number, because the mean of its divisors is an integer number (25259070).

Almost surely, 2564314856 is an apocalyptic number.

564314856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564314856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808290240).

564314856 is an abundant number, since it is smaller than the sum of its proper divisors (1052265624).

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

564314856 is a wasteful number, since it uses less digits than its factorization.

564314856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8874 (or 8870 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 564314856 is about 23755.3121638088. The cubic root of 564314856 is about 826.3686402573.

The spelling of 564314856 in words is "five hundred sixty-four million, three hundred fourteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 397 794 1191 1588 2382 2779 3176 4764 5558 8337 8461 9528 11116 16674 16922 22232 25383 33348 33844 50766 59227 66696 67688 101532 118454 177681 203064 236908 355362 473816 710724 1421448 3359017 6718034 10077051 13436068 20154102 23513119 26872136 40308204 47026238 70539357 80616408 94052476 141078714 188104952 282157428 564314856