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104252288 = 277307379
BaseRepresentation
bin1100011011011…
…00001110000000
321021011120020212
412031230032000
5203142033123
614202253252
72404062350
oct615541600
9237146225
10104252288
1153936318
122aab7228
13187a215a
14dbbab60
159244878
hex636c380

104252288 has 64 divisors (see below), whose sum is σ = 238761600. Its totient is φ = 44416512.

The previous prime is 104252263. The next prime is 104252293. The reversal of 104252288 is 882252401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 274883 + ... + 275261.

It is an arithmetic number, because the mean of its divisors is an integer number (3730650).

Almost surely, 2104252288 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 104252288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119380800).

104252288 is an abundant number, since it is smaller than the sum of its proper divisors (134509312).

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

104252288 is an equidigital number, since it uses as much as digits as its factorization.

104252288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 104252288 is about 10210.4009715584. The cubic root of 104252288 is about 470.6468955503.

The spelling of 104252288 in words is "one hundred four million, two hundred fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 307 379 448 614 758 896 1228 1516 2149 2456 2653 3032 4298 4912 5306 6064 8596 9824 10612 12128 17192 19648 21224 24256 34384 39296 42448 48512 68768 84896 116353 137536 169792 232706 275072 339584 465412 814471 930824 1628942 1861648 3257884 3723296 6515768 7446592 13031536 14893184 26063072 52126144 104252288