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104249616 = 24323891061
BaseRepresentation
bin1100011011010…
…11100100010000
321021011102120220
412031223210100
5203141441431
614202233040
72404051512
oct615534420
9237142526
10104249616
1153934309
122aab5780
13187a0b83
14dbb9bb2
159243b96
hex636b910

104249616 has 80 divisors (see below), whose sum is σ = 284446080. Its totient is φ = 32834560.

The previous prime is 104249597. The next prime is 104249617. The reversal of 104249616 is 616942401.

It is a super-2 number, since 2×1042496162 = 21735964872294912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104249617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97726 + ... + 98786.

It is an arithmetic number, because the mean of its divisors is an integer number (3555576).

Almost surely, 2104249616 is an apocalyptic number.

104249616 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 104249616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142223040).

104249616 is an abundant number, since it is smaller than the sum of its proper divisors (180196464).

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

104249616 is a wasteful number, since it uses less digits than its factorization.

104249616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 104249616 is about 10210.2701237528. The cubic root of 104249616 is about 470.6428746017.

The spelling of 104249616 in words is "one hundred four million, two hundred forty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 89 92 138 178 184 267 276 356 368 534 552 712 1061 1068 1104 1424 2047 2122 2136 3183 4094 4244 4272 6141 6366 8188 8488 12282 12732 16376 16976 24403 24564 25464 32752 48806 49128 50928 73209 94429 97612 98256 146418 188858 195224 283287 292836 377716 390448 566574 585672 755432 1133148 1171344 1510864 2171867 2266296 4343734 4532592 6515601 8687468 13031202 17374936 26062404 34749872 52124808 104249616