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85675392 = 2732116761
BaseRepresentation
bin1010001101101…
…00110110000000
312222012202112200
411012310312000
5133413103032
612300153200
72060141325
oct506646600
9188182480
1085675392
11443a8210
1224838800
13149996ca
14b542b4c
1577c547c
hex51b4d80

85675392 has 96 divisors (see below), whose sum is σ = 268992360. Its totient is φ = 25958400.

The previous prime is 85675361. The next prime is 85675397. The reversal of 85675392 is 29357658.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85675397) 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 11 ways as a sum of consecutive naturals, for example, 9292 + ... + 16052.

Almost surely, 285675392 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 85675392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134496180).

85675392 is an abundant number, since it is smaller than the sum of its proper divisors (183316968).

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

85675392 is a wasteful number, since it uses less digits than its factorization.

85675392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6792 (or 6777 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 85675392 is about 9256.1002587483. The cubic root of 85675392 is about 440.8444389395.

The spelling of 85675392 in words is "eighty-five million, six hundred seventy-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 6761 12672 13522 20283 27044 40566 54088 60849 74371 81132 108176 121698 148742 162264 216352 223113 243396 297484 324528 432704 446226 486792 594968 649056 669339 865408 892452 973584 1189936 1298112 1338678 1784904 1947168 2379872 2596224 2677356 3569808 3894336 4759744 5354712 7139616 7788672 9519488 10709424 14279232 21418848 28558464 42837696 85675392