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87251904 = 263416831
BaseRepresentation
bin1010011001101…
…01101111000000
320002011212010000
411030311233000
5134314030104
612354040000
72106425505
oct514655700
9202155100
1087251904
1145284713
1225279000
13150cc15c
14b8334ac
1579d7639
hex5335bc0

87251904 has 70 divisors (see below), whose sum is σ = 258657344. Its totient is φ = 29082240.

The previous prime is 87251897. The next prime is 87251909. The reversal of 87251904 is 40915278.

It is a super-2 number, since 2×872519042 = 15225789503250432, which contains 22 as substring.

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 (87251909) 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 9 ways as a sum of consecutive naturals, for example, 3232 + ... + 13599.

Almost surely, 287251904 is an apocalyptic number.

It is an amenable number.

87251904 is an abundant number, since it is smaller than the sum of its proper divisors (171405440).

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

87251904 is a wasteful number, since it uses less digits than its factorization.

87251904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16855 (or 16836 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 87251904 is about 9340.8727643620. The cubic root of 87251904 is about 443.5320123806.

The spelling of 87251904 in words is "eighty-seven million, two hundred fifty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 16831 33662 50493 67324 100986 134648 151479 201972 269296 302958 403944 454437 538592 605916 807888 908874 1077184 1211832 1363311 1615776 1817748 2423664 2726622 3231552 3635496 4847328 5453244 7270992 9694656 10906488 14541984 21812976 29083968 43625952 87251904