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87678752 = 2573771149
BaseRepresentation
bin1010011100111…
…01111100100000
320002222112122012
411032131330200
5134421210002
612411132052
72113154120
oct516357440
9202875565
1087678752
1145546387
1225444028
131521b525
14b904c80
157a6dd52
hex539df20

87678752 has 96 divisors (see below), whose sum is σ = 206841600. Its totient is φ = 35804160.

The previous prime is 87678751. The next prime is 87678769. The reversal of 87678752 is 25787678.

It is a self number, because there is not a number n which added to its sum of digits gives 87678752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87678751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 588374 + ... + 588522.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 287678752 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 87678752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103420800).

87678752 is an abundant number, since it is smaller than the sum of its proper divisors (119162848).

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

87678752 is a wasteful number, since it uses less digits than its factorization.

87678752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its digits is 1317120, while the sum is 50.

The square root of 87678752 is about 9363.6932884413. The cubic root of 87678752 is about 444.2541087957.

The spelling of 87678752 in words is "eighty-seven million, six hundred seventy-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 71 74 112 142 148 149 224 259 284 296 298 497 518 568 592 596 994 1036 1043 1136 1184 1192 1988 2072 2086 2272 2384 2627 3976 4144 4172 4768 5254 5513 7952 8288 8344 10508 10579 11026 15904 16688 18389 21016 21158 22052 33376 36778 38591 42032 42316 44104 73556 74053 77182 84064 84632 88208 147112 148106 154364 169264 176416 294224 296212 308728 338528 391423 588448 592424 617456 782846 1184848 1234912 1565692 2369696 2739961 3131384 5479922 6262768 10959844 12525536 21919688 43839376 87678752