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104454432 = 2532794591
BaseRepresentation
bin1100011100111…
…01100100100000
321021112211112200
412032131210200
5203220020212
614210453200
72405563605
oct616354440
9237484480
10104454432
1153a64185
122ab94200
1318843174
14dc306ac
1592846dc
hex639d920

104454432 has 72 divisors (see below), whose sum is σ = 300867840. Its totient is φ = 34369920.

The previous prime is 104454359. The next prime is 104454437. The reversal of 104454432 is 234454401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 104454396 and 104454405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104454437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20457 + ... + 25047.

It is an arithmetic number, because the mean of its divisors is an integer number (4178720).

Almost surely, 2104454432 is an apocalyptic number.

104454432 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 104454432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150433920).

104454432 is an abundant number, since it is smaller than the sum of its proper divisors (196413408).

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

104454432 is a wasteful number, since it uses less digits than its factorization.

104454432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4686 (or 4675 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 104454432 is about 10220.2951033715. The cubic root of 104454432 is about 470.9508921443.

The spelling of 104454432 in words is "one hundred four million, four hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2528 2844 3792 4591 5688 7584 9182 11376 13773 18364 22752 27546 36728 41319 55092 73456 82638 110184 146912 165276 220368 330552 362689 440736 661104 725378 1088067 1322208 1450756 2176134 2901512 3264201 4352268 5803024 6528402 8704536 11606048 13056804 17409072 26113608 34818144 52227216 104454432