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87253408 = 2511247879
BaseRepresentation
bin1010011001101…
…10000110100000
320002011221011201
411030312012200
5134314102113
612354050544
72106433054
oct514660640
9202157151
1087253408
1145285860
1225279a54
13150cca48
14b833c64
1579d7cdd
hex53361a0

87253408 has 24 divisors (see below), whose sum is σ = 187397280. Its totient is φ = 39660480.

The previous prime is 87253393. The next prime is 87253409. The reversal of 87253408 is 80435278.

It is a super-2 number, since 2×872534082 = 15226314415228928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87253409) 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 3 ways as a sum of consecutive naturals, for example, 123588 + ... + 124291.

It is an arithmetic number, because the mean of its divisors is an integer number (7808220).

Almost surely, 287253408 is an apocalyptic number.

87253408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

87253408 is an abundant number, since it is smaller than the sum of its proper divisors (100143872).

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

87253408 is a wasteful number, since it uses less digits than its factorization.

87253408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247900 (or 247892 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 87253408 is about 9340.9532704109. The cubic root of 87253408 is about 443.5345608190.

The spelling of 87253408 in words is "eighty-seven million, two hundred fifty-three thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 247879 495758 991516 1983032 2726669 3966064 5453338 7932128 10906676 21813352 43626704 87253408