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104449428 = 223217170669
BaseRepresentation
bin1100011100111…
…00010110010100
321021112120200100
412032130112110
5203214340203
614210414100
72405543166
oct616342624
9237476610
10104449428
1153a60446
122ab91330
1318840ac5
14dc2c936
159282ea3
hex639c594

104449428 has 36 divisors (see below), whose sum is σ = 279557460. Its totient is φ = 32768256.

The previous prime is 104449393. The next prime is 104449439. The reversal of 104449428 is 824944401.

It can be written as a sum of positive squares in 2 ways, for example, as 97061904 + 7387524 = 9852^2 + 2718^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×1044494284 (a number of 33 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 104449392 and 104449401.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 84723 + ... + 85946.

It is an arithmetic number, because the mean of its divisors is an integer number (7765485).

Almost surely, 2104449428 is an apocalyptic number.

104449428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104449428 is an abundant number, since it is smaller than the sum of its proper divisors (175108032).

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

104449428 is a wasteful number, since it uses less digits than its factorization.

104449428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170696 (or 170691 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 104449428 is about 10220.0502934183. The cubic root of 104449428 is about 470.9433715574.

The spelling of 104449428 in words is "one hundred four million, four hundred forty-nine thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 170669 341338 512007 682676 1024014 1536021 2048028 2901373 3072042 5802746 6144084 8704119 11605492 17408238 26112357 34816476 52224714 104449428