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104629224 = 2337622793
BaseRepresentation
bin1100011110010…
…00001111101000
321021212201022110
412033020033220
5203241113344
614214322320
72410222320
oct617101750
9237781273
10104629224
1154073537
122b0593a0
13188a48ab
14dc78280
1592bb3b9
hex63c83e8

104629224 has 32 divisors (see below), whose sum is σ = 298941120. Its totient is φ = 29894016.

The previous prime is 104629223. The next prime is 104629241. The reversal of 104629224 is 422926401.

It is a junction number, because it is equal to n+sod(n) for n = 104629191 and 104629200.

It is not an unprimeable number, because it can be changed into a prime (104629223) by changing a digit.

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, 311229 + ... + 311564.

It is an arithmetic number, because the mean of its divisors is an integer number (9341910).

Almost surely, 2104629224 is an apocalyptic number.

104629224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104629224 is an abundant number, since it is smaller than the sum of its proper divisors (194311896).

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

104629224 is a wasteful number, since it uses less digits than its factorization.

104629224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622809 (or 622805 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 104629224 is about 10228.8427497934. The cubic root of 104629224 is about 471.2134390837.

The spelling of 104629224 in words is "one hundred four million, six hundred twenty-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 622793 1245586 1868379 2491172 3736758 4359551 4982344 7473516 8719102 13078653 14947032 17438204 26157306 34876408 52314612 104629224