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8104992 = 253721723
BaseRepresentation
bin11110111010110000100000
3120020202221220
4132322300200
54033324432
6445415040
7125614500
oct36726040
916222856
108104992
114636445
12286a480
1318aa16c
14110da00
15aa172c
hex7bac20

8104992 has 72 divisors (see below), whose sum is σ = 24763536. Its totient is φ = 2314368.

The previous prime is 8104991. The next prime is 8105017. The reversal of 8104992 is 2994018.

It is not an unprimeable number, because it can be changed into a prime (8104991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3843 + ... + 5565.

It is an arithmetic number, because the mean of its divisors is an integer number (343938).

Almost surely, 28104992 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 8104992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12381768).

8104992 is an abundant number, since it is smaller than the sum of its proper divisors (16658544).

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

8104992 is a wasteful number, since it uses less digits than its factorization.

8104992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 8104992 is about 2846.9267640738. The cubic root of 8104992 is about 200.8711334568.

The spelling of 8104992 in words is "eight million, one hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 1723 2352 3446 4704 5169 6892 10338 12061 13784 20676 24122 27568 36183 41352 48244 55136 72366 82704 84427 96488 144732 165408 168854 192976 253281 289464 337708 385952 506562 578928 675416 1013124 1157856 1350832 2026248 2701664 4052496 8104992