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85024192 = 2611235989
BaseRepresentation
bin1010001000101…
…01110111000000
312220222200021011
411010111313000
5133231233232
612234210304
72051456641
oct504256700
9186880234
1085024192
1143aa2a30
1224583994
13147cc196
14b4136c8
1576e7547
hex5115dc0

85024192 has 112 divisors (see below), whose sum is σ = 197510400. Its totient is φ = 35932160.

The previous prime is 85024171. The next prime is 85024217. The reversal of 85024192 is 29142058.

It is a super-2 number, since 2×850241922 = 14458226450505728, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 955284 + ... + 955372.

Almost surely, 285024192 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 85024192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98755200).

85024192 is an abundant number, since it is smaller than the sum of its proper divisors (112486208).

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

85024192 is a wasteful number, since it uses less digits than its factorization.

85024192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 85024192 is about 9220.8563593627. The cubic root of 85024192 is about 439.7246762408.

The spelling of 85024192 in words is "eighty-five million, twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 59 64 88 89 92 118 176 178 184 236 253 352 356 368 472 506 649 704 712 736 944 979 1012 1298 1357 1424 1472 1888 1958 2024 2047 2596 2714 2848 3776 3916 4048 4094 5192 5251 5428 5696 7832 8096 8188 10384 10502 10856 14927 15664 16192 16376 20768 21004 21712 22517 29854 31328 32752 41536 42008 43424 45034 57761 59708 62656 65504 84016 86848 90068 115522 119416 120773 131008 168032 180136 231044 238832 241546 336064 360272 462088 477664 483092 720544 924176 955328 966184 1328503 1441088 1848352 1932368 2657006 3696704 3864736 5314012 7729472 10628024 21256048 42512096 85024192