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8104404 = 2237311179
BaseRepresentation
bin11110111010100111010100
3120020202011010
4132322213110
54033320104
6445412220
7125613000
oct36724724
916222133
108104404
114635a60
12286a070
1318a9b09
14110d700
15aa1489
hex7ba9d4

8104404 has 96 divisors (see below), whose sum is σ = 24192000. Its totient is φ = 2093280.

The previous prime is 8104403. The next prime is 8104409. The reversal of 8104404 is 4044018.

8104404 = T7 + T8 + ... + T364.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8104403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45187 + ... + 45365.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 28104404 is an apocalyptic number.

8104404 is a gapful number since it is divisible by the number (84) 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 8104404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

8104404 is an abundant number, since it is smaller than the sum of its proper divisors (16087596).

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

8104404 is a wasteful number, since it uses less digits than its factorization.

8104404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 8104404 is about 2846.8234929479. The cubic root of 8104404 is about 200.8662757476.

The spelling of 8104404 in words is "eight million, one hundred four thousand, four hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 179 196 231 294 308 343 358 462 537 539 588 686 716 924 1029 1074 1078 1253 1372 1617 1969 2058 2148 2156 2506 3234 3759 3773 3938 4116 5012 5907 6468 7518 7546 7876 8771 11319 11814 13783 15036 15092 17542 22638 23628 26313 27566 35084 41349 45276 52626 55132 61397 82698 96481 105252 122794 165396 184191 192962 245588 289443 368382 385924 578886 675367 736764 1157772 1350734 2026101 2701468 4052202 8104404