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85392612 = 223219131953
BaseRepresentation
bin1010001011011…
…11110011100100
312221200101122100
411011233303210
5133330030422
612250132100
72054553024
oct505576344
9187611570
1085392612
1144224808
1224721030
13148caa96
14b4aba84
15776b7ac
hex516fce4

85392612 has 72 divisors (see below), whose sum is σ = 229188960. Its totient is φ = 26732160.

The previous prime is 85392589. The next prime is 85392673. The reversal of 85392612 is 21629358.

85392612 is a `hidden beast` number, since 8 + 5 + 39 + 2 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89128 + ... + 90080.

It is an arithmetic number, because the mean of its divisors is an integer number (3183180).

Almost surely, 285392612 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 85392612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114594480).

85392612 is an abundant number, since it is smaller than the sum of its proper divisors (143796348).

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

85392612 is a wasteful number, since it uses less digits than its factorization.

85392612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1108 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 85392612 is about 9240.8123019570. The cubic root of 85392612 is about 440.3588876332.

The spelling of 85392612 in words is "eighty-five million, three hundred ninety-two thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 131 171 228 262 342 393 524 684 786 953 1179 1572 1906 2358 2489 2859 3812 4716 4978 5718 7467 8577 9956 11436 14934 17154 18107 22401 29868 34308 36214 44802 54321 72428 89604 108642 124843 162963 217284 249686 325926 374529 499372 651852 749058 1123587 1498116 2247174 2372017 4494348 4744034 7116051 9488068 14232102 21348153 28464204 42696306 85392612