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104833248 = 25313167503
BaseRepresentation
bin1100011111110…
…10000011100000
321022021002011220
412033322003200
5203314130443
614222535040
72412032202
oct617720340
9238232156
10104833248
11541a2853
122b137480
1318946710
14dccc772
15930ba83
hex63fa0e0

104833248 has 96 divisors (see below), whose sum is σ = 298722816. Its totient is φ = 31999488.

The previous prime is 104833243. The next prime is 104833283. The reversal of 104833248 is 842338401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104833243) 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 15 ways as a sum of consecutive naturals, for example, 208165 + ... + 208667.

It is an arithmetic number, because the mean of its divisors is an integer number (3111696).

Almost surely, 2104833248 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 104833248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149361408).

104833248 is an abundant number, since it is smaller than the sum of its proper divisors (193889568).

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

104833248 is a wasteful number, since it uses less digits than its factorization.

104833248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 104833248 is about 10238.8108684554. The cubic root of 104833248 is about 471.5195244688.

It can be divided in two parts, 10483 and 3248, that added together give a palindrome (13731).

The spelling of 104833248 in words is "one hundred four million, eight hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 167 208 312 334 416 501 503 624 668 1002 1006 1248 1336 1509 2004 2012 2171 2672 3018 4008 4024 4342 5344 6036 6513 6539 8016 8048 8684 12072 13026 13078 16032 16096 17368 19617 24144 26052 26156 34736 39234 48288 52104 52312 69472 78468 84001 104208 104624 156936 168002 208416 209248 252003 313872 336004 504006 627744 672008 1008012 1092013 1344016 2016024 2184026 2688032 3276039 4032048 4368052 6552078 8064096 8736104 13104156 17472208 26208312 34944416 52416624 104833248