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85275008 = 277137321
BaseRepresentation
bin1010001010100…
…11000110000000
312221110102022122
411011103012000
5133312300013
612243423412
72053553120
oct505230600
9187412278
1085275008
1144154415
1224684b68
13148893b0
14b47ac80
157746a08
hex5153180

85275008 has 64 divisors (see below), whose sum is σ = 209116320. Its totient is φ = 33730560.

The previous prime is 85274999. The next prime is 85275031. The reversal of 85275008 is 80057258.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7988 + ... + 15308.

Almost surely, 285275008 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 85275008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104558160).

85275008 is an abundant number, since it is smaller than the sum of its proper divisors (123841312).

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

85275008 is a wasteful number, since it uses less digits than its factorization.

85275008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7355 (or 7343 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 35.

The square root of 85275008 is about 9234.4468161336. The cubic root of 85275008 is about 440.1566384455.

The spelling of 85275008 in words is "eighty-five million, two hundred seventy-five thousand, eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 5824 7321 11648 14642 29284 51247 58568 95173 102494 117136 190346 204988 234272 380692 409976 468544 666211 761384 819952 937088 1332422 1522768 1639904 2664844 3045536 3279808 5329688 6091072 6559616 10659376 12182144 21318752 42637504 85275008