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87410488 = 231119232273
BaseRepresentation
bin1010011010111…
…00011100111000
320002110220122111
411031130130320
5134334113423
612401302104
72110656034
oct515343470
9202426574
1087410488
1145382880
1225334934
13151563a9
14b8751c4
157a1960d
hex535c738

87410488 has 64 divisors (see below), whose sum is σ = 196473600. Its totient is φ = 35988480.

The previous prime is 87410473. The next prime is 87410497. The reversal of 87410488 is 88401478.

It is a self number, because there is not a number n which added to its sum of digits gives 87410488.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37320 + ... + 39592.

It is an arithmetic number, because the mean of its divisors is an integer number (3069900).

Almost surely, 287410488 is an apocalyptic number.

87410488 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87410488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98236800).

87410488 is an abundant number, since it is smaller than the sum of its proper divisors (109063112).

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

87410488 is a wasteful number, since it uses less digits than its factorization.

87410488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 87410488 is about 9349.3576249922. The cubic root of 87410488 is about 443.8005624327.

The spelling of 87410488 in words is "eighty-seven million, four hundred ten thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 19 22 23 38 44 46 76 88 92 152 184 209 253 418 437 506 836 874 1012 1672 1748 2024 2273 3496 4546 4807 9092 9614 18184 19228 25003 38456 43187 50006 52279 86374 100012 104558 172748 200024 209116 345496 418232 475057 575069 950114 993301 1150138 1900228 1986602 2300276 3800456 3973204 4600552 7946408 10926311 21852622 43705244 87410488