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86143572 = 223229109757
BaseRepresentation
bin1010010001001…
…11001001010100
320000002112202200
411020213021110
5134023043242
612314204500
72064131304
oct510471124
9200075680
1086143572
1144697a39
1224a23730
1314b01838
14b625604
15786904c
hex5227254

86143572 has 72 divisors (see below), whose sum is σ = 227627400. Its totient is φ = 27433728.

The previous prime is 86143567. The next prime is 86143591. The reversal of 86143572 is 27534168.

86143572 is a `hidden beast` number, since 8 + 614 + 35 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24740676 + 61402896 = 4974^2 + 7836^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 113418 + ... + 114174.

Almost surely, 286143572 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 86143572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113813700).

86143572 is an abundant number, since it is smaller than the sum of its proper divisors (141483828).

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

86143572 is a wasteful number, since it uses less digits than its factorization.

86143572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 900 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 86143572 is about 9281.3561509081. The cubic root of 86143572 is about 441.6459905039.

The spelling of 86143572 in words is "eighty-six million, one hundred forty-three thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 109 116 174 218 261 327 348 436 522 654 757 981 1044 1308 1514 1962 2271 3028 3161 3924 4542 6322 6813 9084 9483 12644 13626 18966 21953 27252 28449 37932 43906 56898 65859 82513 87812 113796 131718 165026 197577 247539 263436 330052 395154 495078 742617 790308 990156 1485234 2392877 2970468 4785754 7178631 9571508 14357262 21535893 28714524 43071786 86143572