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104443008 = 273377351
BaseRepresentation
bin1100011100110…
…10110010000000
321021112020212120
412032122302000
5203214134013
614210324240
72405515365
oct616326200
9237466776
10104443008
1153a5663a
122ab89680
131883abc7
14dc2a46c
159281123
hex639ac80

104443008 has 64 divisors (see below), whose sum is σ = 284963520. Its totient is φ = 33868800.

The previous prime is 104442991. The next prime is 104443043. The reversal of 104443008 is 800344401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 10533 + ... + 17883.

It is an arithmetic number, because the mean of its divisors is an integer number (4452555).

Almost surely, 2104443008 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 104443008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142481760).

104443008 is an abundant number, since it is smaller than the sum of its proper divisors (180520512).

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

104443008 is an equidigital number, since it uses as much as digits as its factorization.

104443008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7405 (or 7393 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 104443008 is about 10219.7362001179. The cubic root of 104443008 is about 470.9337224910.

Adding to 104443008 its reverse (800344401), we get a palindrome (904787409).

The spelling of 104443008 in words is "one hundred four million, four hundred forty-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 7351 14208 14702 22053 29404 44106 58808 88212 117616 176424 235232 271987 352848 470464 543974 705696 815961 940928 1087948 1411392 1631922 2175896 2822784 3263844 4351792 6527688 8703584 13055376 17407168 26110752 34814336 52221504 104443008