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85700868 = 223111934171
BaseRepresentation
bin1010001101110…
…11000100000100
312222021001111020
411012323010010
5133414411433
612300511140
72060305521
oct506730404
9188231436
1085700868
1144415370
122484b4b0
13149a8196
14b54c148
1577cccb3
hex51bb104

85700868 has 48 divisors (see below), whose sum is σ = 229635840. Its totient is φ = 24602400.

The previous prime is 85700861. The next prime is 85700873. The reversal of 85700868 is 86800758.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85700861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14578 + ... + 19593.

It is an arithmetic number, because the mean of its divisors is an integer number (4784080).

Almost surely, 285700868 is an apocalyptic number.

It is an amenable number.

85700868 is an abundant number, since it is smaller than the sum of its proper divisors (143934972).

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

85700868 is a wasteful number, since it uses less digits than its factorization.

85700868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34208 (or 34206 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 85700868 is about 9257.4763299724. The cubic root of 85700868 is about 440.8881303646. Note that the first 3 decimals are identical.

It can be divided in two parts, 85700 and 868, that added together give a palindrome (86568).

The spelling of 85700868 in words is "eighty-five million, seven hundred thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 34171 68342 102513 136684 205026 375881 410052 649249 751762 1127643 1298498 1503524 1947747 2255286 2596996 3895494 4510572 7141739 7790988 14283478 21425217 28566956 42850434 85700868