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8126928 = 243256437
BaseRepresentation
bin11111000000000111010000
3120021220001100
4133000013100
54040030203
6450104400
7126035445
oct37000720
916256040
108126928
114650977
12287b100
1318b7144
1411179cc
15aa7ea3
hex7c01d0

8126928 has 30 divisors (see below), whose sum is σ = 22744514. Its totient is φ = 2708928.

The previous prime is 8126917. The next prime is 8126953. The reversal of 8126928 is 8296218.

It can be written as a sum of positive squares in only one way, i.e., 7884864 + 242064 = 2808^2 + 492^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 8126892 and 8126901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28075 + ... + 28362.

Almost surely, 28126928 is an apocalyptic number.

It is an amenable number.

8126928 is an abundant number, since it is smaller than the sum of its proper divisors (14617586).

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

8126928 is a wasteful number, since it uses less digits than its factorization.

8126928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56451 (or 56442 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 8126928 is about 2850.7767362598. The cubic root of 8126928 is about 201.0521881268.

The spelling of 8126928 in words is "eight million, one hundred twenty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 56437 112874 169311 225748 338622 451496 507933 677244 902992 1015866 1354488 2031732 2708976 4063464 8126928