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575990112 = 25329313661
BaseRepresentation
bin100010010101001…
…110100101100000
31111010211022220010
4202111032211200
52134423140422
6133053244520
720162556315
oct4225164540
91433738803
10575990112
11276149995
12140a93740
1392440269
14566d6d0c
1535878b0c
hex2254e960

575990112 has 96 divisors (see below), whose sum is σ = 1571482080. Its totient is φ = 184504320.

The previous prime is 575990087. The next prime is 575990113. The reversal of 575990112 is 211099575.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575990113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 871062 + ... + 871722.

It is an arithmetic number, because the mean of its divisors is an integer number (16369605).

Almost surely, 2575990112 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 575990112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785741040).

575990112 is an abundant number, since it is smaller than the sum of its proper divisors (995491968).

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

575990112 is a wasteful number, since it uses less digits than its factorization.

575990112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 39.

The square root of 575990112 is about 23999.7939991159. The cubic root of 575990112 is about 832.0287681128.

The spelling of 575990112 in words is "five hundred seventy-five million, nine hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 313 348 464 626 661 696 928 939 1252 1322 1392 1878 1983 2504 2644 2784 3756 3966 5008 5288 7512 7932 9077 10016 10576 15024 15864 18154 19169 21152 27231 30048 31728 36308 38338 54462 57507 63456 72616 76676 108924 115014 145232 153352 206893 217848 230028 290464 306704 413786 435696 460056 613408 620679 827572 871392 920112 1241358 1655144 1840224 2482716 3310288 4965432 5999897 6620576 9930864 11999794 17999691 19861728 23999588 35999382 47999176 71998764 95998352 143997528 191996704 287995056 575990112