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104439456 = 253611237
BaseRepresentation
bin1100011100110…
…01111010100000
321021112002000000
412032121322200
5203214030311
614210300000
72405502132
oct616317240
9237462000
10104439456
1153a53a00
122ab87600
13188393c4
14dc29052
159280056
hex6399ea0

104439456 has 252 divisors, whose sum is σ = 348013386. Its totient is φ = 30792960.

The previous prime is 104439451. The next prime is 104439463. The reversal of 104439456 is 654934401.

It can be written as a sum of positive squares in only one way, i.e., 69155856 + 35283600 = 8316^2 + 5940^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 104439456.

It is not an unprimeable number, because it can be changed into a prime (104439451) 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 41 ways as a sum of consecutive naturals, for example, 2822670 + ... + 2822706.

Almost surely, 2104439456 is an apocalyptic number.

104439456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104439456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174006693).

104439456 is an abundant number, since it is smaller than the sum of its proper divisors (243573930).

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

104439456 is an equidigital number, since it uses as much as digits as its factorization.

104439456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 104439456 is about 10219.5624172466. The cubic root of 104439456 is about 470.9283837722.

The spelling of 104439456 in words is "one hundred four million, four hundred thirty-nine thousand, four hundred fifty-six".