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104626752 = 2634113291
BaseRepresentation
bin1100011110001…
…11101001000000
321021212120220220
412033013221000
5203241024002
614214303040
72410212156
oct617075100
9237776826
10104626752
115407169a
122b057a80
13188a3729
14dc773d6
1592ba7bc
hex63c7a40

104626752 has 56 divisors (see below), whose sum is σ = 283598112. Its totient is φ = 34022400.

The previous prime is 104626733. The next prime is 104626759. The reversal of 104626752 is 257626401.

It is not an unprimeable number, because it can be changed into a prime (104626759) 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, 1227 + ... + 14517.

It is an arithmetic number, because the mean of its divisors is an integer number (5064252).

Almost surely, 2104626752 is an apocalyptic number.

104626752 is a gapful number since it is divisible by the number (12) 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 104626752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141799056).

104626752 is an abundant number, since it is smaller than the sum of its proper divisors (178971360).

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

104626752 is a wasteful number, since it uses less digits than its factorization.

104626752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13347 (or 13337 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 104626752 is about 10228.7219142960. The cubic root of 104626752 is about 471.2097280466.

The spelling of 104626752 in words is "one hundred four million, six hundred twenty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 13291 26582 39873 53164 79746 106328 159492 212656 318984 425312 544931 637968 850624 1089862 1275936 1634793 2179724 2551872 3269586 4359448 6539172 8718896 13078344 17437792 26156688 34875584 52313376 104626752