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104442624 = 28321113317
BaseRepresentation
bin1100011100110…
…10101100000000
321021112020100100
412032122230000
5203214130444
614210322400
72405514306
oct616325400
9237466310
10104442624
1153a56320
122ab89400
131883a990
14dc2a276
159280e69
hex639ab00

104442624 has 216 divisors, whose sum is σ = 354895632. Its totient is φ = 29122560.

The previous prime is 104442607. The next prime is 104442643. The reversal of 104442624 is 426244401.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329314 + ... + 329630.

Almost surely, 2104442624 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 104442624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177447816).

104442624 is an abundant number, since it is smaller than the sum of its proper divisors (250453008).

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

104442624 is a wasteful number, since it uses less digits than its factorization.

104442624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 104442624 is about 10219.7174129229. The cubic root of 104442624 is about 470.9331453381.

The spelling of 104442624 in words is "one hundred four million, four hundred forty-two thousand, six hundred twenty-four".