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85704507 = 337547829
BaseRepresentation
bin1010001101110…
…11111100111011
312222021020111000
411012323330323
5133420021012
612300540043
72060322240
oct506737473
9188236430
1085704507
1144418079
1224851623
13149a9a35
14b54d5c7
1577cdddc
hex51bbf3b

85704507 has 32 divisors (see below), whose sum is σ = 145548800. Its totient is φ = 48825504.

The previous prime is 85704499. The next prime is 85704529. The reversal of 85704507 is 70540758.

85704507 is a `hidden beast` number, since 85 + 70 + 4 + 507 = 666.

It is not a de Polignac number, because 85704507 - 23 = 85704499 is a prime.

It is a super-2 number, since 2×857045072 = 14690525040226098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85704587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102969 + ... + 103797.

It is an arithmetic number, because the mean of its divisors is an integer number (4548400).

Almost surely, 285704507 is an apocalyptic number.

85704507 is a deficient number, since it is larger than the sum of its proper divisors (59844293).

85704507 is a wasteful number, since it uses less digits than its factorization.

85704507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1386 counting only the distinct ones).

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

The square root of 85704507 is about 9257.6728717319. The cubic root of 85704507 is about 440.8943705550.

The spelling of 85704507 in words is "eighty-five million, seven hundred four thousand, five hundred seven".

Divisors: 1 3 7 9 21 27 63 189 547 829 1641 2487 3829 4923 5803 7461 11487 14769 17409 22383 34461 52227 103383 156681 453463 1360389 3174241 4081167 9522723 12243501 28568169 85704507