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87686382 = 23721012953
BaseRepresentation
bin1010011100111…
…11110011101110
320002222221002210
411032133303232
5134421431012
612411231250
72113215300
oct516376356
9202887083
1087686382
1145551093
1225448526
1315221b44
14b907970
157a7123c
hex539fcee

87686382 has 48 divisors (see below), whose sum is σ = 206094672. Its totient is φ = 24796800.

The previous prime is 87686377. The next prime is 87686399. The reversal of 87686382 is 28368678.

It is a happy number.

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, 28218 + ... + 31170.

It is an arithmetic number, because the mean of its divisors is an integer number (4293639).

Almost surely, 287686382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87686382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103047336).

87686382 is an abundant number, since it is smaller than the sum of its proper divisors (118408290).

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

87686382 is a wasteful number, since it uses less digits than its factorization.

87686382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3066 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 87686382 is about 9364.1007042855. The cubic root of 87686382 is about 444.2669950821.

The spelling of 87686382 in words is "eighty-seven million, six hundred eighty-six thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 101 147 202 294 303 606 707 1414 2121 2953 4242 4949 5906 8859 9898 14847 17718 20671 29694 41342 62013 124026 144697 289394 298253 434091 596506 868182 894759 1789518 2087771 4175542 6263313 12526626 14614397 29228794 43843191 87686382