Search a number
-
+
1042808256 = 2636731103
BaseRepresentation
bin111110001001111…
…111110111000000
32200200020011000000
4332021333313000
54113424331011
6251251000000
734561503210
oct7611776700
92620204000
101042808256
11495702306
12251299000
13138078009
149c6d2240
156183a356
hex3e27fdc0

1042808256 has 392 divisors, whose sum is σ = 3695704064. Its totient is φ = 285534720.

The previous prime is 1042808233. The next prime is 1042808269. The reversal of 1042808256 is 6528082401.

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 1042808256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10124301 + ... + 10124403.

Almost surely, 21042808256 is an apocalyptic number.

1042808256 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 1042808256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847852032).

1042808256 is an abundant number, since it is smaller than the sum of its proper divisors (2652895808).

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

1042808256 is an equidigital number, since it uses as much as digits as its factorization.

1042808256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1042808256 is about 32292.5418014748. The cubic root of 1042808256 is about 1014.0705108350.

The spelling of 1042808256 in words is "one billion, forty-two million, eight hundred eight thousand, two hundred fifty-six".