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104881392 = 24347111051
BaseRepresentation
bin1100100000001…
…01110011110000
321022100112020000
412100011303300
5203322201032
614223550000
72412322440
oct620056360
9238315200
10104881392
1154225a40
122b15b300
13189625c5
14dd02120
15931ae7c
hex6405cf0

104881392 has 200 divisors, whose sum is σ = 378820992. Its totient is φ = 27216000.

The previous prime is 104881391. The next prime is 104881417. The reversal of 104881392 is 293188401.

It is a super-2 number, since 2×1048813922 = 22000212775715328, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104881391) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 99267 + ... + 100317.

Almost surely, 2104881392 is an apocalyptic number.

104881392 is a gapful number since it is divisible by the number (12) 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 104881392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189410496).

104881392 is an abundant number, since it is smaller than the sum of its proper divisors (273939600).

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

104881392 is a wasteful number, since it uses less digits than its factorization.

104881392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 104881392 is about 10241.1616528595. The cubic root of 104881392 is about 471.5916941994.

The spelling of 104881392 in words is "one hundred four million, eight hundred eighty-one thousand, three hundred ninety-two".