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1456412256 = 2532132231301
BaseRepresentation
bin101011011001111…
…0001011001100000
310202111111102000200
41112303301121200
510440320143011
6400303545200
751043204605
oct12663613140
93674442020
101456412256
1168811a0a2
123478bb200
131a2970700
14db5d86ac
1587cd9856
hex56cf1660

1456412256 has 216 divisors, whose sum is σ = 4683356496. Its totient is φ = 428313600.

The previous prime is 1456412231. The next prime is 1456412273. The reversal of 1456412256 is 6522146541.

1456412256 is a `hidden beast` number, since 1 + 4 + 5 + 641 + 2 + 2 + 5 + 6 = 666.

It is a super-2 number, since 2×14564122562 = 4242273318854019072, which contains 22 as substring.

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 1456412256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1118806 + ... + 1120106.

It is an arithmetic number, because the mean of its divisors is an integer number (21682206).

Almost surely, 21456412256 is an apocalyptic number.

1456412256 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 1456412256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341678248).

1456412256 is an abundant number, since it is smaller than the sum of its proper divisors (3226944240).

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

1456412256 is a wasteful number, since it uses less digits than its factorization.

1456412256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1342 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 1456412256 is about 38162.9696957666. The cubic root of 1456412256 is about 1133.5171838610.

Adding to 1456412256 its reverse (6522146541), we get a palindrome (7978558797).

The spelling of 1456412256 in words is "one billion, four hundred fifty-six million, four hundred twelve thousand, two hundred fifty-six".