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8412872 = 2313411973
BaseRepresentation
bin100000000101…
…111011001000
3120211102021212
4200011323020
54123202442
6500152252
7131336216
oct40057310
916742255
108412872
114826796
122998688
131987340
14118dcb6
15b12a82
hex805ec8

8412872 has 32 divisors (see below), whose sum is σ = 17410680. Its totient is φ = 3786240.

The previous prime is 8412857. The next prime is 8412881. The reversal of 8412872 is 2782148.

It can be written as a sum of positive squares in 4 ways, for example, as 2292196 + 6120676 = 1514^2 + 2474^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3278 + ... + 5250.

Almost surely, 28412872 is an apocalyptic number.

8412872 is a gapful number since it is divisible by the number (82) 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 8412872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8705340).

8412872 is an abundant number, since it is smaller than the sum of its proper divisors (8997808).

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

8412872 is a wasteful number, since it uses less digits than its factorization.

8412872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2029 counting only the distinct ones).

The product of its digits is 7168, while the sum is 32.

The square root of 8412872 is about 2900.4951301459. The cubic root of 8412872 is about 203.3830521316.

The spelling of 8412872 in words is "eight million, four hundred twelve thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 1973 2132 3946 4264 7892 15784 25649 51298 80893 102596 161786 205192 323572 647144 1051609 2103218 4206436 8412872