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87487752 = 233112831171
BaseRepresentation
bin1010011011011…
…11010100001000
320002121211122010
411031233110020
5134344102002
612403055520
72111430222
oct515572410
9202554563
1087487752
1145425930
12253715a0
1315182601
14b895412
157a3246c
hex536f508

87487752 has 64 divisors (see below), whose sum is σ = 239650560. Its totient is φ = 26395200.

The previous prime is 87487717. The next prime is 87487753. The reversal of 87487752 is 25778478.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (87487753) 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, 74127 + ... + 75297.

It is an arithmetic number, because the mean of its divisors is an integer number (3744540).

Almost surely, 287487752 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 87487752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119825280).

87487752 is an abundant number, since it is smaller than the sum of its proper divisors (152162808).

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

87487752 is a wasteful number, since it uses less digits than its factorization.

87487752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1470 counting only the distinct ones).

The product of its digits is 878080, while the sum is 48.

The square root of 87487752 is about 9353.4887608849. The cubic root of 87487752 is about 443.9312855272.

The spelling of 87487752 in words is "eighty-seven million, four hundred eighty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 283 566 849 1132 1171 1698 2264 2342 3113 3396 3513 4684 6226 6792 7026 9339 9368 12452 12881 14052 18678 24904 25762 28104 37356 38643 51524 74712 77286 103048 154572 309144 331393 662786 994179 1325572 1988358 2651144 3645323 3976716 7290646 7953432 10935969 14581292 21871938 29162584 43743876 87487752