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104376288 = 2531497297
BaseRepresentation
bin1100011100010…
…10011111100000
321021101212100110
412032022133200
5203210020123
614205051320
72405120022
oct616123740
9237355313
10104376288
1153a104a5
122ab56b40
1318816723
14dc10012
15926b493
hex638a7e0

104376288 has 48 divisors (see below), whose sum is σ = 275864400. Its totient is φ = 34553856.

The previous prime is 104376247. The next prime is 104376317. The reversal of 104376288 is 882673401.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 10656 + ... + 17952.

It is an arithmetic number, because the mean of its divisors is an integer number (5747175).

Almost surely, 2104376288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104376288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137932200).

104376288 is an abundant number, since it is smaller than the sum of its proper divisors (171488112).

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

104376288 is a wasteful number, since it uses less digits than its factorization.

104376288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7459 (or 7451 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 104376288 is about 10216.4714065082. The cubic root of 104376288 is about 470.8334209274.

The spelling of 104376288 in words is "one hundred four million, three hundred seventy-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 596 894 1192 1788 2384 3576 4768 7152 7297 14304 14594 21891 29188 43782 58376 87564 116752 175128 233504 350256 700512 1087253 2174506 3261759 4349012 6523518 8698024 13047036 17396048 26094072 34792096 52188144 104376288