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85480692 = 223112173463
BaseRepresentation
bin1010001100001…
…01010011110100
312221211212110120
411012011103310
5133340340232
612252051540
72055400563
oct506052364
9187755416
1085480692
1144284a00
1224763bb0
131492bbbb
14b4d1bda
15778792c
hex51854f4

85480692 has 72 divisors (see below), whose sum is σ = 232198848. Its totient is φ = 24372480.

The previous prime is 85480669. The next prime is 85480721. The reversal of 85480692 is 29608458.

It is a congruent number.

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, 22953 + ... + 26415.

It is an arithmetic number, because the mean of its divisors is an integer number (3224984).

Almost surely, 285480692 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 85480692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116099424).

85480692 is an abundant number, since it is smaller than the sum of its proper divisors (146718156).

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

85480692 is a wasteful number, since it uses less digits than its factorization.

85480692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3509 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 85480692 is about 9245.5768884370. The cubic root of 85480692 is about 440.5102414085.

The spelling of 85480692 in words is "eighty-five million, four hundred eighty thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 187 204 242 363 374 484 561 726 748 1122 1452 2057 2244 3463 4114 6171 6926 8228 10389 12342 13852 20778 24684 38093 41556 58871 76186 114279 117742 152372 176613 228558 235484 353226 419023 457116 647581 706452 838046 1257069 1295162 1676092 1942743 2514138 2590324 3885486 5028276 7123391 7770972 14246782 21370173 28493564 42740346 85480692