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104456608 = 2529313631
BaseRepresentation
bin1100011100111…
…10000110100000
321021112221112021
412032132012200
5203220102413
614210511224
72405603134
oct616360640
9237487467
10104456608
1153a65883
122ab95514
1318844159
14dc313c4
15928518d
hex639e1a0

104456608 has 48 divisors (see below), whose sum is σ = 219663360. Its totient is φ = 48787200.

The previous prime is 104456603. The next prime is 104456617. The reversal of 104456608 is 806654401.

It is a super-2 number, since 2×1044566082 = 21822365909731328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104456603) 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, 26953 + ... + 30583.

It is an arithmetic number, because the mean of its divisors is an integer number (4576320).

Almost surely, 2104456608 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 104456608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109831680).

104456608 is an abundant number, since it is smaller than the sum of its proper divisors (115206752).

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

104456608 is a wasteful number, since it uses less digits than its factorization.

104456608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 104456608 is about 10220.4015576689. The cubic root of 104456608 is about 470.9541624125.

The spelling of 104456608 in words is "one hundred four million, four hundred fifty-six thousand, six hundred eight".

Divisors: 1 2 4 8 16 29 31 32 58 62 116 124 232 248 464 496 899 928 992 1798 3596 3631 7192 7262 14384 14524 28768 29048 58096 105299 112561 116192 210598 225122 421196 450244 842392 900488 1684784 1800976 3264269 3369568 3601952 6528538 13057076 26114152 52228304 104456608