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85750704 = 24331315269
BaseRepresentation
bin1010001110001…
…11001110110000
312222100120212000
411013013032300
5133423010304
612301534000
72060604024
oct507071660
9188316760
1085750704
1144449856
1224874300
13149c4a80
14b562384
1577dc939
hex51c73b0

85750704 has 80 divisors (see below), whose sum is σ = 265087200. Its totient is φ = 26383104.

The previous prime is 85750697. The next prime is 85750711. The reversal of 85750704 is 40705758.

It is an interprime number because it is at equal distance from previous prime (85750697) and next prime (85750711).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2019 + ... + 13250.

It is an arithmetic number, because the mean of its divisors is an integer number (3313590).

Almost surely, 285750704 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 85750704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132543600).

85750704 is an abundant number, since it is smaller than the sum of its proper divisors (179336496).

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

85750704 is a wasteful number, since it uses less digits than its factorization.

85750704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15299 (or 15287 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 85750704 is about 9260.1676010750. The cubic root of 85750704 is about 440.9735742414.

The spelling of 85750704 in words is "eighty-five million, seven hundred fifty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 15269 30538 45807 61076 91614 122152 137421 183228 198497 244304 274842 366456 396994 412263 549684 595491 732912 793988 824526 1099368 1190982 1587976 1649052 1786473 2198736 2381964 3175952 3298104 3572946 4763928 5359419 6596208 7145892 9527856 10718838 14291784 21437676 28583568 42875352 85750704