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87682374 = 23213973863
BaseRepresentation
bin1010011100111…
…10110101000110
320002222201121100
411032132311012
5134421313444
612411200530
72113200513
oct516366506
9202881540
1087682374
114554907a
1225446146
1315220080
14b90630a
157a6ee69
hex539ed46

87682374 has 48 divisors (see below), whose sum is σ = 206754912. Its totient is φ = 26694144.

The previous prime is 87682369. The next prime is 87682381. The reversal of 87682374 is 47328678.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 20767 + ... + 24629.

It is an arithmetic number, because the mean of its divisors is an integer number (4307394).

Almost surely, 287682374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87682374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103377456).

87682374 is an abundant number, since it is smaller than the sum of its proper divisors (119072538).

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

87682374 is a wasteful number, since it uses less digits than its factorization.

87682374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3978 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 87682374 is about 9363.8866930351. The cubic root of 87682374 is about 444.2602260749.

The spelling of 87682374 in words is "eighty-seven million, six hundred eighty-two thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 194 234 291 582 873 1261 1746 2522 3783 3863 7566 7726 11349 11589 22698 23178 34767 50219 69534 100438 150657 301314 374711 451971 749422 903942 1124133 2248266 3372399 4871243 6744798 9742486 14613729 29227458 43841187 87682374