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575016768 = 26323132203
BaseRepresentation
bin100010010001100…
…000111101000000
31111001222212201100
4202101200331000
52134201014033
6133020334400
720151363504
oct4221407500
91431885640
10575016768
11275644677
121406a4400
139218c211
1456522304
1535735513
hex22460f40

575016768 has 84 divisors (see below), whose sum is σ = 1701401728. Its totient is φ = 185483520.

The previous prime is 575016749. The next prime is 575016797. The reversal of 575016768 is 867610575.

575016768 is a `hidden beast` number, since 575 + 0 + 1 + 6 + 76 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1755 + ... + 33957.

Almost surely, 2575016768 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 575016768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850700864).

575016768 is an abundant number, since it is smaller than the sum of its proper divisors (1126384960).

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

575016768 is a wasteful number, since it uses less digits than its factorization.

575016768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32252 (or 32239 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 575016768 is about 23979.5072509841. The cubic root of 575016768 is about 831.5598325069.

The spelling of 575016768 in words is "five hundred seventy-five million, sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8928 17856 32203 64406 96609 128812 193218 257624 289827 386436 515248 579654 772872 998293 1030496 1159308 1545744 1996586 2060992 2318616 2994879 3091488 3993172 4637232 5989758 6182976 7986344 8984637 9274464 11979516 15972688 17969274 18548928 23959032 31945376 35938548 47918064 63890752 71877096 95836128 143754192 191672256 287508384 575016768