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85198008 = 2337736947
BaseRepresentation
bin1010001010000…
…00010010111000
312221022111200210
411011000102320
5133302314013
612242031120
72053112460
oct505002270
9187274623
1085198008
1144101585
12246484a0
131486032c
14b45aba0
15772dcc3
hex51404b8

85198008 has 64 divisors (see below), whose sum is σ = 246792960. Its totient is φ = 24005376.

The previous prime is 85197991. The next prime is 85198031. The reversal of 85198008 is 80089158.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8791 + ... + 15737.

It is an arithmetic number, because the mean of its divisors is an integer number (3856140).

Almost surely, 285198008 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 85198008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123396480).

85198008 is an abundant number, since it is smaller than the sum of its proper divisors (161594952).

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

85198008 is a wasteful number, since it uses less digits than its factorization.

85198008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7036 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The square root of 85198008 is about 9230.2767022446. The cubic root of 85198008 is about 440.0241171354.

The spelling of 85198008 in words is "eighty-five million, one hundred ninety-eight thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1752 2044 3066 4088 6132 6947 12264 13894 20841 27788 41682 48629 55576 83364 97258 145887 166728 194516 291774 389032 507131 583548 1014262 1167096 1521393 2028524 3042786 3549917 4057048 6085572 7099834 10649751 12171144 14199668 21299502 28399336 42599004 85198008