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564830496 = 2534359607
BaseRepresentation
bin100001101010101…
…010000100100000
31110100211100210000
4201222222010200
52124044033441
6132014140000
716665660066
oct4152520440
91410740700
10564830496
1126a91756a
121391b1600
1390033939
1455030036
15348c22b6
hex21aaa120

564830496 has 120 divisors (see below), whose sum is σ = 1668522240. Its totient is φ = 187443072.

The previous prime is 564830459. The next prime is 564830501. The reversal of 564830496 is 694038465.

564830496 is a `hidden beast` number, since 564 + 83 + 0 + 4 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 930225 + ... + 930831.

It is an arithmetic number, because the mean of its divisors is an integer number (13904352).

Almost surely, 2564830496 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 564830496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834261120).

564830496 is an abundant number, since it is smaller than the sum of its proper divisors (1103691744).

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

564830496 is a wasteful number, since it uses less digits than its factorization.

564830496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 564830496 is about 23766.1628371094. The cubic root of 564830496 is about 826.6202604312.

The spelling of 564830496 in words is "five hundred sixty-four million, eight hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 359 432 607 648 718 864 1077 1214 1296 1436 1821 2154 2428 2592 2872 3231 3642 4308 4856 5463 5744 6462 7284 8616 9693 9712 10926 11488 12924 14568 16389 17232 19386 19424 21852 25848 29079 29136 32778 34464 38772 43704 49167 51696 58158 58272 65556 77544 87408 98334 103392 116316 131112 155088 174816 196668 217913 232632 262224 310176 393336 435826 465264 524448 653739 786672 871652 930528 1307478 1573344 1743304 1961217 2614956 3486608 3922434 5229912 5883651 6973216 7844868 10459824 11767302 15689736 17650953 20919648 23534604 31379472 35301906 47069208 62758944 70603812 94138416 141207624 188276832 282415248 564830496