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85287276 = 22331989467
BaseRepresentation
bin1010001010101…
…10000101101100
312221111001011000
411011112011230
5133313143101
612244000300
72053633644
oct505260554
9187431130
1085287276
1144162658
1224690090
1314891b59
14b481524
15774a486
hex515616c

85287276 has 96 divisors (see below), whose sum is σ = 235872000. Its totient is φ = 26573184.

The previous prime is 85287263. The next prime is 85287277. The reversal of 85287276 is 67278258.

Its product of digits (376320) is a multiple of the sum of its prime factors (588).

It is not an unprimeable number, because it can be changed into a prime (85287277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182395 + ... + 182861.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 285287276 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 85287276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936000).

85287276 is an abundant number, since it is smaller than the sum of its proper divisors (150584724).

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

85287276 is a wasteful number, since it uses less digits than its factorization.

85287276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 580 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 85287276 is about 9235.1110442701. Note that the first 3 decimals coincide. The cubic root of 85287276 is about 440.1777449918.

The spelling of 85287276 in words is "eighty-five million, two hundred eighty-seven thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 89 108 114 171 178 228 267 342 356 467 513 534 684 801 934 1026 1068 1401 1602 1691 1868 2052 2403 2802 3204 3382 4203 4806 5073 5604 6764 8406 8873 9612 10146 12609 15219 16812 17746 20292 25218 26619 30438 35492 41563 45657 50436 53238 60876 79857 83126 91314 106476 124689 159714 166252 182628 239571 249378 319428 374067 479142 498756 748134 789697 958284 1122201 1496268 1579394 2244402 2369091 3158788 4488804 4738182 7107273 9476364 14214546 21321819 28429092 42643638 85287276