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87496368 = 24319197487
BaseRepresentation
bin1010011011100…
…01011010110000
320002122021110020
411031301122300
5134344340433
612403203440
72111464311
oct515613260
9202567406
1087496368
1145431353
1225376580
13151864cb
14b898608
157a34cb3
hex53716b0

87496368 has 80 divisors (see below), whose sum is σ = 239627520. Its totient is φ = 27433728.

The previous prime is 87496363. The next prime is 87496369. The reversal of 87496368 is 86369478.

It is a super-2 number, since 2×874963682 = 15311228826382848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 87496368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87496363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179421 + ... + 179907.

It is an arithmetic number, because the mean of its divisors is an integer number (2995344).

Almost surely, 287496368 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 87496368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119813760).

87496368 is an abundant number, since it is smaller than the sum of its proper divisors (152131152).

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

87496368 is a wasteful number, since it uses less digits than its factorization.

87496368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 708 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 87496368 is about 9353.9493263541. The cubic root of 87496368 is about 443.9458581819.

The spelling of 87496368 in words is "eighty-seven million, four hundred ninety-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 197 228 304 394 456 487 591 788 912 974 1182 1461 1576 1948 2364 2922 3152 3743 3896 4728 5844 7486 7792 9253 9456 11229 11688 14972 18506 22458 23376 27759 29944 37012 44916 55518 59888 74024 89832 95939 111036 148048 179664 191878 222072 287817 383756 444144 575634 767512 1151268 1535024 1822841 2302536 3645682 4605072 5468523 7291364 10937046 14582728 21874092 29165456 43748184 87496368