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85604448 = 2534991787
BaseRepresentation
bin1010001101000…
…11100001100000
312222002011020010
411012203201200
5133403320243
612254444520
72056424436
oct506434140
9188064203
1085604448
1144359986
1224803740
1314973327
14b524d56
1577ae433
hex51a3860

85604448 has 48 divisors (see below), whose sum is σ = 225288000. Its totient is φ = 28461696.

The previous prime is 85604447. The next prime is 85604471. The reversal of 85604448 is 84440658.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85604447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47011 + ... + 48797.

It is an arithmetic number, because the mean of its divisors is an integer number (4693500).

Almost surely, 285604448 is an apocalyptic number.

It is an amenable number.

85604448 is an abundant number, since it is smaller than the sum of its proper divisors (139683552).

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

85604448 is a wasteful number, since it uses less digits than its factorization.

85604448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 85604448 is about 9252.2671816155. The cubic root of 85604448 is about 440.7227240819.

The spelling of 85604448 in words is "eighty-five million, six hundred four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 499 998 1497 1787 1996 2994 3574 3992 5361 5988 7148 7984 10722 11976 14296 15968 21444 23952 28592 42888 47904 57184 85776 171552 891713 1783426 2675139 3566852 5350278 7133704 10700556 14267408 21401112 28534816 42802224 85604448