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87876864 = 283243887
BaseRepresentation
bin1010011110011…
…10010100000000
320010100121101200
411033032110000
5134444024424
612415301200
72114640525
oct517162400
9203317350
1087876864
1145671209
122551a800
131528a75a
14b95714c
157aac8c9
hex53ce500

87876864 has 108 divisors (see below), whose sum is σ = 259555296. Its totient is φ = 28578816.

The previous prime is 87876863. The next prime is 87876871. The reversal of 87876864 is 46867878.

It is a self number, because there is not a number n which added to its sum of digits gives 87876864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87876863) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 98629 + ... + 99515.

Almost surely, 287876864 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 87876864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129777648).

87876864 is an abundant number, since it is smaller than the sum of its proper divisors (171678432).

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

87876864 is a wasteful number, since it uses less digits than its factorization.

87876864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 935 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 87876864 is about 9374.2660512704. The cubic root of 87876864 is about 444.5884576267.

It can be divided in two parts, 8787 and 6864, that added together give a palindrome (15651).

The spelling of 87876864 in words is "eighty-seven million, eight hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 516 576 688 768 774 887 1032 1152 1376 1548 1774 2064 2304 2661 2752 3096 3548 4128 5322 5504 6192 7096 7983 8256 10644 11008 12384 14192 15966 16512 21288 24768 28384 31932 33024 38141 42576 49536 56768 63864 76282 85152 99072 113536 114423 127728 152564 170304 227072 228846 255456 305128 340608 343269 457692 510912 610256 681216 686538 915384 1021824 1220512 1373076 1830768 2043648 2441024 2746152 3661536 4882048 5492304 7323072 9764096 10984608 14646144 21969216 29292288 43938432 87876864