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87756452 = 22723712101
BaseRepresentation
bin1010011101100…
…00111010100100
320010010111012222
411032300322210
5134431201302
612412531512
72113626500
oct516607244
9203114188
1087756452
11455997a3
1225480b98
13152479c4
14b925300
157a86da2
hex53b0ea4

87756452 has 36 divisors (see below), whose sum is σ = 183490524. Its totient is φ = 36590400.

The previous prime is 87756451. The next prime is 87756457. The reversal of 87756452 is 25465778.

It can be written as a sum of positive squares in 2 ways, for example, as 85119076 + 2637376 = 9226^2 + 1624^2 .

It is not an unprimeable number, because it can be changed into a prime (87756451) 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 11 ways as a sum of consecutive naturals, for example, 1202 + ... + 13302.

It is an arithmetic number, because the mean of its divisors is an integer number (5096959).

Almost surely, 287756452 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 87756452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91745262).

87756452 is an abundant number, since it is smaller than the sum of its proper divisors (95734072).

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

87756452 is a wasteful number, since it uses less digits than its factorization.

87756452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12156 (or 12147 counting only the distinct ones).

The product of its digits is 470400, while the sum is 44.

The square root of 87756452 is about 9367.8413735503. The cubic root of 87756452 is about 444.3853011763.

The spelling of 87756452 in words is "eighty-seven million, seven hundred fifty-six thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 518 1036 1813 3626 7252 12101 24202 48404 84707 169414 338828 447737 592949 895474 1185898 1790948 2371796 3134159 6268318 12536636 21939113 43878226 87756452