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85152004 = 22722971211
BaseRepresentation
bin1010001001101…
…01000100000100
312221020011120221
411010311010010
5133244331004
612241034124
72052531400
oct504650404
9187204527
1085152004
114407aa63
1224625944
1314845402
14b448100
157720354
hex5135104

85152004 has 72 divisors (see below), whose sum is σ = 182710080. Its totient is φ = 34574400.

The previous prime is 85151987. The next prime is 85152017. The reversal of 85152004 is 40025158.

It is a self number, because there is not a number n which added to its sum of digits gives 85152004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403459 + ... + 403669.

It is an arithmetic number, because the mean of its divisors is an integer number (2537640).

Almost surely, 285152004 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 85152004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91355040).

85152004 is an abundant number, since it is smaller than the sum of its proper divisors (97558076).

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

85152004 is a wasteful number, since it uses less digits than its factorization.

85152004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 85152004 is about 9227.7843494525. The cubic root of 85152004 is about 439.9449035695.

The spelling of 85152004 in words is "eighty-five million, one hundred fifty-two thousand, four".

Divisors: 1 2 4 7 14 28 29 49 58 71 98 116 142 196 203 211 284 406 422 497 812 844 994 1421 1477 1988 2059 2842 2954 3479 4118 5684 5908 6119 6958 8236 10339 12238 13916 14413 14981 20678 24476 28826 29962 41356 42833 57652 59924 85666 100891 104867 171332 201782 209734 299831 403564 419468 434449 599662 734069 868898 1199324 1468138 1737796 2936276 3041143 6082286 12164572 21288001 42576002 85152004