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86248152 = 2334167797
BaseRepresentation
bin1010010010000…
…00101011011000
320000021212020000
411021000223120
5134034420102
612320333000
72065045224
oct511005330
9200255200
1086248152
1144759571
1224a74160
1314b3a313
14b651784
15788a01c
hex5240ad8

86248152 has 80 divisors (see below), whose sum is σ = 243326160. Its totient is φ = 28541376.

The previous prime is 86248139. The next prime is 86248159. The reversal of 86248152 is 25184268.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86248159) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 107818 + ... + 108614.

It is an arithmetic number, because the mean of its divisors is an integer number (3041577).

Almost surely, 286248152 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 86248152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121663080).

86248152 is an abundant number, since it is smaller than the sum of its proper divisors (157078008).

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

86248152 is a wasteful number, since it uses less digits than its factorization.

86248152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 969 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 86248152 is about 9286.9883169949. The cubic root of 86248152 is about 441.8246405507.

The spelling of 86248152 in words is "eighty-six million, two hundred forty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 167 216 324 334 501 648 668 797 1002 1336 1503 1594 2004 2391 3006 3188 4008 4509 4782 6012 6376 7173 9018 9564 12024 13527 14346 18036 19128 21519 27054 28692 36072 43038 54108 57384 64557 86076 108216 129114 133099 172152 258228 266198 399297 516456 532396 798594 1064792 1197891 1597188 2395782 3194376 3593673 4791564 7187346 9583128 10781019 14374692 21562038 28749384 43124076 86248152