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104064288 = 2532234861
BaseRepresentation
bin1100011001111…
…10010100100000
321020211000100220
412030332110200
5203120024123
614154243040
72402350266
oct614762440
9236730326
10104064288
1153818049
122aa26480
1318737703
14db6c436
159208ce3
hex633e520

104064288 has 48 divisors (see below), whose sum is σ = 274450176. Its totient is φ = 34525440.

The previous prime is 104064283. The next prime is 104064307. The reversal of 104064288 is 882460401.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (104064283) 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, 18978 + ... + 23838.

It is an arithmetic number, because the mean of its divisors is an integer number (5717712).

Almost surely, 2104064288 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 104064288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137225088).

104064288 is an abundant number, since it is smaller than the sum of its proper divisors (170385888).

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

104064288 is a wasteful number, since it uses less digits than its factorization.

104064288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 104064288 is about 10201.1905187581. The cubic root of 104064288 is about 470.3638166902.

The spelling of 104064288 in words is "one hundred four million, sixty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 446 669 892 1338 1784 2676 3568 4861 5352 7136 9722 10704 14583 19444 21408 29166 38888 58332 77776 116664 155552 233328 466656 1084003 2168006 3252009 4336012 6504018 8672024 13008036 17344048 26016072 34688096 52032144 104064288