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564441540 = 2235136111863
BaseRepresentation
bin100001101001001…
…011000111000100
31110100002121020020
4201221023013010
52123444112130
6132001535140
716662450105
oct4151130704
91410077206
10564441540
1126a681313
121390444b0
138cc288a0
1454d6c3ac
1534846e10
hex21a4b1c4

564441540 has 96 divisors (see below), whose sum is σ = 1730055936. Its totient is φ = 136650240.

The previous prime is 564441523. The next prime is 564441541. The reversal of 564441540 is 45144465.

It is not an unprimeable number, because it can be changed into a prime (564441541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41649 + ... + 53511.

It is an arithmetic number, because the mean of its divisors is an integer number (18021416).

Almost surely, 2564441540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564441540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865027968).

564441540 is an abundant number, since it is smaller than the sum of its proper divisors (1165614396).

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

564441540 is a wasteful number, since it uses less digits than its factorization.

564441540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11949 (or 11947 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 564441540 is about 23757.9784493547. The cubic root of 564441540 is about 826.4304732635.

The spelling of 564441540 in words is "five hundred sixty-four million, four hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 61 65 78 122 130 156 183 195 244 260 305 366 390 610 732 780 793 915 1220 1586 1830 2379 3172 3660 3965 4758 7930 9516 11863 11895 15860 23726 23790 35589 47452 47580 59315 71178 118630 142356 154219 177945 237260 308438 355890 462657 616876 711780 723643 771095 925314 1447286 1542190 1850628 2170929 2313285 2894572 3084380 3618215 4341858 4626570 7236430 8683716 9253140 9407359 10854645 14472860 18814718 21709290 28222077 37629436 43418580 47036795 56444154 94073590 112888308 141110385 188147180 282220770 564441540