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85187032 = 2371923592
BaseRepresentation
bin1010001001111…
…01100111011000
312221021221122021
411010331213120
5133301441112
612241504224
72053035460
oct504754730
9187257567
1085187032
11440a4307
1224642074
1314858338
14b456ba0
15772a907
hex513d9d8

85187032 has 96 divisors (see below), whose sum is σ = 203961600. Its totient is φ = 32522688.

The previous prime is 85187029. The next prime is 85187041. The reversal of 85187032 is 23078158.

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, 1443819 + ... + 1443877.

It is an arithmetic number, because the mean of its divisors is an integer number (2124600).

Almost surely, 285187032 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 85187032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101980800).

85187032 is an abundant number, since it is smaller than the sum of its proper divisors (118774568).

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

85187032 is a wasteful number, since it uses less digits than its factorization.

85187032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 85187032 is about 9229.6821180364. The cubic root of 85187032 is about 440.0052203237.

The spelling of 85187032 in words is "eighty-five million, one hundred eighty-seven thousand, thirty-two".

Divisors: 1 2 4 7 8 14 19 23 28 38 46 56 59 76 92 118 133 152 161 184 236 266 322 413 437 472 532 644 826 874 1064 1121 1288 1357 1652 1748 2242 2714 3059 3304 3481 3496 4484 5428 6118 6962 7847 8968 9499 10856 12236 13924 15694 18998 24367 24472 25783 27848 31388 37996 48734 51566 62776 66139 75992 80063 97468 103132 132278 160126 180481 194936 206264 264556 320252 360962 462973 529112 560441 640504 721924 925946 1120882 1443848 1521197 1851892 2241764 3042394 3703784 4483528 6084788 10648379 12169576 21296758 42593516 85187032