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104826096 = 2433431563
BaseRepresentation
bin1100011111110…
…00010011110000
321022020201101000
412033320103300
5203313413341
614222442000
72412002304
oct617702360
9238221330
10104826096
1154198441
122b133300
131894339b
14dcc9d04
1593098b6
hex63f84f0

104826096 has 80 divisors (see below), whose sum is σ = 302123520. Its totient is φ = 34799040.

The previous prime is 104826091. The next prime is 104826109. The reversal of 104826096 is 690628401.

104826096 is a `hidden beast` number, since 1 + 0 + 48 + 2 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 104826096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104826091) 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, 185911 + ... + 186473.

It is an arithmetic number, because the mean of its divisors is an integer number (3776544).

Almost surely, 2104826096 is an apocalyptic number.

104826096 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 104826096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151061760).

104826096 is an abundant number, since it is smaller than the sum of its proper divisors (197297424).

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

104826096 is a wasteful number, since it uses less digits than its factorization.

104826096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 104826096 is about 10238.4616031902. The cubic root of 104826096 is about 471.5088014574.

The spelling of 104826096 in words is "one hundred four million, eight hundred twenty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 431 432 563 862 1126 1293 1689 1724 2252 2586 3378 3448 3879 4504 5067 5172 6756 6896 7758 9008 10134 10344 11637 13512 15201 15516 20268 20688 23274 27024 30402 31032 40536 46548 60804 62064 81072 93096 121608 186192 242653 243216 485306 727959 970612 1455918 1941224 2183877 2911836 3882448 4367754 5823672 6551631 8735508 11647344 13103262 17471016 26206524 34942032 52413048 104826096