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87252372 = 22327973041
BaseRepresentation
bin1010011001101…
…01110110010100
320002011212202100
411030311312110
5134314033442
612354042100
72106430044
oct514656624
9202155670
1087252372
1145284aa9
1225279330
13150cc42c
14b833724
1579d784c
hex5335d94

87252372 has 36 divisors (see below), whose sum is σ = 220903956. Its totient is φ = 29038080.

The previous prime is 87252371. The next prime is 87252421. The reversal of 87252372 is 27325278.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 69155856 + 18096516 = 8316^2 + 4254^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×872523722 = 15225952839252768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87252371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27172 + ... + 30212.

It is an arithmetic number, because the mean of its divisors is an integer number (6136221).

Almost surely, 287252372 is an apocalyptic number.

It is an amenable number.

87252372 is an abundant number, since it is smaller than the sum of its proper divisors (133651584).

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

87252372 is a wasteful number, since it uses less digits than its factorization.

87252372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3843 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 87252372 is about 9340.8978155207. The cubic root of 87252372 is about 443.5328053818.

The spelling of 87252372 in words is "eighty-seven million, two hundred fifty-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 797 1594 2391 3041 3188 4782 6082 7173 9123 9564 12164 14346 18246 27369 28692 36492 54738 109476 2423677 4847354 7271031 9694708 14542062 21813093 29084124 43626186 87252372