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104248256 = 267474951
BaseRepresentation
bin1100011011010…
…11001111000000
321021011100201112
412031223033000
5203141421011
614202222452
72404044530
oct615531700
9237140645
10104248256
1153933292
122aab4a28
13187a0378
14dbb94c0
15924358b
hex636b3c0

104248256 has 56 divisors (see below), whose sum is σ = 241499136. Its totient is φ = 43718400.

The previous prime is 104248253. The next prime is 104248271. The reversal of 104248256 is 652842401.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104248253) by changing a digit.

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, 18581 + ... + 23531.

Almost surely, 2104248256 is an apocalyptic number.

104248256 is a gapful number since it is divisible by the number (16) 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 104248256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120749568).

104248256 is an abundant number, since it is smaller than the sum of its proper divisors (137250880).

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

104248256 is an equidigital number, since it uses as much as digits as its factorization.

104248256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5017 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 104248256 is about 10210.2035239264. The cubic root of 104248256 is about 470.6408279848.

The spelling of 104248256 in words is "one hundred four million, two hundred forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1316 1504 2632 3008 4951 5264 9902 10528 19804 21056 34657 39608 69314 79216 138628 158432 232697 277256 316864 465394 554512 930788 1109024 1628879 1861576 2218048 3257758 3723152 6515516 7446304 13031032 14892608 26062064 52124128 104248256