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575257072 = 241321911197
BaseRepresentation
bin100010010010011…
…011100111110000
31111002110002100111
4202102123213300
52134231211242
6133025431104
720153414215
oct4222334760
91432402314
10575257072
11275799175
1214079b494
1392244700
1456585b0c
1535781817
hex2249b9f0

575257072 has 60 divisors (see below), whose sum is σ = 1270525080. Its totient is φ = 251506944.

The previous prime is 575257037. The next prime is 575257087. The reversal of 575257072 is 270752575.

It is a happy number.

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, 45778 + ... + 56974.

It is an arithmetic number, because the mean of its divisors is an integer number (21175418).

Almost surely, 2575257072 is an apocalyptic number.

575257072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575257072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635262540).

575257072 is an abundant number, since it is smaller than the sum of its proper divisors (695268008).

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

575257072 is a wasteful number, since it uses less digits than its factorization.

575257072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11250 (or 11231 counting only the distinct ones).

The product of its (nonzero) digits is 171500, while the sum is 40.

The square root of 575257072 is about 23984.5173393170. The cubic root of 575257072 is about 831.6756548244.

The spelling of 575257072 in words is "five hundred seventy-five million, two hundred fifty-seven thousand, seventy-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 169 208 247 304 338 494 676 988 1352 1976 2704 3211 3952 6422 11197 12844 22394 25688 44788 51376 89576 145561 179152 212743 291122 425486 582244 850972 1164488 1701944 1892293 2328976 2765659 3403888 3784586 5531318 7569172 11062636 15138344 22125272 30276688 35953567 44250544 71907134 143814268 287628536 575257072