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87019392 = 2731911927
BaseRepresentation
bin1010010111111…
…00111110000000
320001202001011110
411023330332000
5134234110032
612345043320
72104436565
oct513747600
9201661143
1087019392
1145135a59
1225186540
131504a385
14b7b286c
15798d7cc
hex52fcf80

87019392 has 64 divisors (see below), whose sum is σ = 243331200. Its totient is φ = 27477504.

The previous prime is 87019381. The next prime is 87019393. The reversal of 87019392 is 29391078.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 87019392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87019393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1333 + ... + 13259.

It is an arithmetic number, because the mean of its divisors is an integer number (3802050).

Almost surely, 287019392 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 87019392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121665600).

87019392 is an abundant number, since it is smaller than the sum of its proper divisors (156311808).

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

87019392 is a wasteful number, since it uses less digits than its factorization.

87019392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11963 (or 11951 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 87019392 is about 9328.4185154827. The cubic root of 87019392 is about 443.1376818981.

The spelling of 87019392 in words is "eighty-seven million, nineteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 11927 23854 35781 47708 71562 95416 143124 190832 226613 286248 381664 453226 572496 679839 763328 906452 1144992 1359678 1526656 1812904 2289984 2719356 3625808 4579968 5438712 7251616 10877424 14503232 21754848 29006464 43509696 87019392