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104125408 = 2517277691
BaseRepresentation
bin1100011010011…
…01001111100000
321020221010012121
412031031033200
5203124003113
614155434024
72403023422
oct615151740
9236833177
10104125408
1153859a62
122aa55914
131875948a
14db86812
15921be8d
hex634d3e0

104125408 has 48 divisors (see below), whose sum is σ = 218154384. Its totient is φ = 48752640.

The previous prime is 104125381. The next prime is 104125433. The reversal of 104125408 is 804521401.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 150343 + ... + 151033.

It is an arithmetic number, because the mean of its divisors is an integer number (4544883).

Almost surely, 2104125408 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 104125408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109077192).

104125408 is an abundant number, since it is smaller than the sum of its proper divisors (114028976).

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

104125408 is a wasteful number, since it uses less digits than its factorization.

104125408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 104125408 is about 10204.1858077948. The cubic root of 104125408 is about 470.4558848100.

Adding to 104125408 its reverse (804521401), we get a palindrome (908646809).

The spelling of 104125408 in words is "one hundred four million, one hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 277 544 554 691 1108 1382 2216 2764 4432 4709 5528 8864 9418 11056 11747 18836 22112 23494 37672 46988 75344 93976 150688 187952 191407 375904 382814 765628 1531256 3062512 3253919 6125024 6507838 13015676 26031352 52062704 104125408