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104132448 = 25327247157
BaseRepresentation
bin1100011010011…
…10111101100000
321020221110212100
412031032331200
5203124214243
614155530400
72403053100
oct615167540
9236843770
10104132448
1153864282
122aa59a00
131875c744
14db89200
15921e0d3
hex634ef60

104132448 has 216 divisors, whose sum is σ = 354043872. Its totient is φ = 28933632.

The previous prime is 104132447. The next prime is 104132449. The reversal of 104132448 is 844231401.

104132448 is a `hidden beast` number, since 1 + 0 + 413 + 244 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (104132447) and next prime (104132449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104132447) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 663186 + ... + 663342.

It is an arithmetic number, because the mean of its divisors is an integer number (1639092).

Almost surely, 2104132448 is an apocalyptic number.

104132448 is a gapful number since it is divisible by the number (18) 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 104132448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177021936).

104132448 is an abundant number, since it is smaller than the sum of its proper divisors (249911424).

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

104132448 is a wasteful number, since it uses less digits than its factorization.

104132448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 104132448 is about 10204.5307584425. The cubic root of 104132448 is about 470.4664872008.

Adding to 104132448 its reverse (844231401), we get a palindrome (948363849).

It can be divided in two parts, 1041 and 32448, that added together give a square (33489 = 1832).

The spelling of 104132448 in words is "one hundred four million, one hundred thirty-two thousand, four hundred forty-eight".