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564153440 = 2554185999
BaseRepresentation
bin100001101000000…
…100110001100000
31110022112222000212
4201220010301200
52123410402230
6131551433252
716660140134
oct4150046140
91408488025
10564153440
1126a4a4914
12138b25828
138cb57706
1454cd53c4
15347db895
hex21a04c60

564153440 has 48 divisors (see below), whose sum is σ = 1365336000. Its totient is φ = 220154880.

The previous prime is 564153439. The next prime is 564153461. The reversal of 564153440 is 44351465.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 564153397 and 564153406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36440 + ... + 49559.

It is an arithmetic number, because the mean of its divisors is an integer number (28444500).

Almost surely, 2564153440 is an apocalyptic number.

It is an amenable number.

564153440 is an abundant number, since it is smaller than the sum of its proper divisors (801182560).

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

564153440 is a wasteful number, since it uses less digits than its factorization.

564153440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86055 (or 86047 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 564153440 is about 23751.9144491555. The cubic root of 564153440 is about 826.2898415517.

The spelling of 564153440 in words is "five hundred sixty-four million, one hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 85999 171998 343996 429995 687992 859990 1375984 1719980 2751968 3439960 3525959 6879920 7051918 13759840 14103836 17629795 28207672 35259590 56415344 70519180 112830688 141038360 282076720 564153440