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104838976 = 26111371087
BaseRepresentation
bin1100011111110…
…11011101000000
321022021101001001
412033323131000
5203314321401
614223021344
72412054664
oct617733500
9238241031
10104838976
11541a7090
122b13a854
13189491c8
14dcd08a4
15930d601
hex63fb740

104838976 has 56 divisors (see below), whose sum is σ = 228819456. Its totient is φ = 47262720.

The previous prime is 104838961. The next prime is 104838977. The reversal of 104838976 is 679838401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104838977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95905 + ... + 96991.

Almost surely, 2104838976 is an apocalyptic number.

104838976 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 104838976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114409728).

104838976 is an abundant number, since it is smaller than the sum of its proper divisors (123980480).

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

104838976 is a wasteful number, since it uses less digits than its factorization.

104838976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 104838976 is about 10239.0905846174. The cubic root of 104838976 is about 471.5281121217.

The spelling of 104838976 in words is "one hundred four million, eight hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 137 176 274 352 548 704 1087 1096 1507 2174 2192 3014 4348 4384 6028 8696 8768 11957 12056 17392 23914 24112 34784 47828 48224 69568 95656 96448 148919 191312 297838 382624 595676 765248 1191352 1638109 2382704 3276218 4765408 6552436 9530816 13104872 26209744 52419488 104838976