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85852508 = 22721273449
BaseRepresentation
bin1010001111000…
…00000101011100
312222112202111112
411013200011130
5133434240013
612304041152
72061506600
oct507400534
9188482445
1085852508
1144509295
12249031b8
1314a2c201
14b58b500
15780cba8
hex51e015c

85852508 has 36 divisors (see below), whose sum is σ = 176198400. Its totient is φ = 36493632.

The previous prime is 85852471. The next prime is 85852511. The reversal of 85852508 is 80525858.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 23168 + ... + 26616.

It is an arithmetic number, because the mean of its divisors is an integer number (4894400).

Almost surely, 285852508 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 85852508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88099200).

85852508 is an abundant number, since it is smaller than the sum of its proper divisors (90345892).

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

85852508 is a wasteful number, since it uses less digits than its factorization.

85852508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 41.

The square root of 85852508 is about 9265.6628473089. The cubic root of 85852508 is about 441.1480144797.

It can be divided in two parts, 85852 and 508, that multiplied together give a square (43612816 = 66042).

The spelling of 85852508 in words is "eighty-five million, eight hundred fifty-two thousand, five hundred eight".

Divisors: 1 2 4 7 14 28 49 98 127 196 254 508 889 1778 3449 3556 6223 6898 12446 13796 24143 24892 48286 96572 169001 338002 438023 676004 876046 1752092 3066161 6132322 12264644 21463127 42926254 85852508