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575790952 = 231117557691
BaseRepresentation
bin100010010100011…
…101111101101000
31111010110012200211
4202110131331220
52134400302302
6133045110504
720161066552
oct4224357550
91433405624
10575790952
112760232a0
121409b8434
13923a0709
14566844d2
1535839ad7
hex2251df68

575790952 has 64 divisors (see below), whose sum is σ = 1251080640. Its totient is φ = 245529600.

The previous prime is 575790923. The next prime is 575790979. The reversal of 575790952 is 259097575.

575790952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 575790896 and 575790905.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 832927 + ... + 833617.

It is an arithmetic number, because the mean of its divisors is an integer number (19548135).

Almost surely, 2575790952 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 575790952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625540320).

575790952 is an abundant number, since it is smaller than the sum of its proper divisors (675289688).

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

575790952 is a wasteful number, since it uses less digits than its factorization.

575790952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 992250, while the sum is 49.

The square root of 575790952 is about 23995.6444381058. The cubic root of 575790952 is about 831.9328602442.

The spelling of 575790952 in words is "five hundred seventy-five million, seven hundred ninety thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 557 691 748 1114 1382 1496 2228 2764 4456 5528 6127 7601 9469 11747 12254 15202 18938 23494 24508 30404 37876 46988 49016 60808 75752 93976 104159 129217 208318 258434 384887 416636 516868 769774 833272 1033736 1539548 3079096 4233757 6543079 8467514 13086158 16935028 26172316 33870056 52344632 71973869 143947738 287895476 575790952