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85175808 = 293232411
BaseRepresentation
bin1010001001110…
…10111000000000
312221021101020120
411010322320000
5133301111213
612241340240
72052660654
oct504727000
9187241216
1085175808
1144096933
1224637680
13148531b3
14b452a64
157727423
hex513ae00

85175808 has 80 divisors (see below), whose sum is σ = 236877696. Its totient is φ = 27146240.

The previous prime is 85175801. The next prime is 85175843. The reversal of 85175808 is 80857158.

It is a self number, because there is not a number n which added to its sum of digits gives 85175808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85175801) 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, 34123 + ... + 36533.

Almost surely, 285175808 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 85175808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118438848).

85175808 is an abundant number, since it is smaller than the sum of its proper divisors (151701888).

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

85175808 is a wasteful number, since it uses less digits than its factorization.

85175808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 42.

The square root of 85175808 is about 9229.0740597310. The cubic root of 85175808 is about 439.9858948646.

The spelling of 85175808 in words is "eighty-five million, one hundred seventy-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1104 1472 1536 2208 2411 2944 4416 4822 5888 7233 8832 9644 11776 14466 17664 19288 28932 35328 38576 55453 57864 77152 110906 115728 154304 166359 221812 231456 308608 332718 443624 462912 617216 665436 887248 925824 1234432 1330872 1774496 1851648 2661744 3548992 3703296 5323488 7097984 10646976 14195968 21293952 28391936 42587904 85175808