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1056243456 = 28331789101
BaseRepresentation
bin111110111101001…
…111111100000000
32201121111201122000
4332331033330000
54130344242311
6252450544000
735113630662
oct7675177400
92647451560
101056243456
114a2249384
12255898000
1313aaa0338
14a03cc532
1562ae1056
hex3ef4ff00

1056243456 has 288 divisors, whose sum is σ = 3377505600. Its totient is φ = 324403200.

The previous prime is 1056243451. The next prime is 1056243491. The reversal of 1056243456 is 6543426501.

1056243456 is a `hidden beast` number, since 1 + 0 + 562 + 43 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10562434562 = 2231300476685647872, 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 1056243456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056243451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10457806 + ... + 10457906.

It is an arithmetic number, because the mean of its divisors is an integer number (11727450).

Almost surely, 21056243456 is an apocalyptic number.

1056243456 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 1056243456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688752800).

1056243456 is an abundant number, since it is smaller than the sum of its proper divisors (2321262144).

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

1056243456 is a wasteful number, since it uses less digits than its factorization.

1056243456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 1056243456 is about 32499.8993229210. The cubic root of 1056243456 is about 1018.4069249344.

Adding to 1056243456 its reverse (6543426501), we get a palindrome (7599669957).

The spelling of 1056243456 in words is "one billion, fifty-six million, two hundred forty-three thousand, four hundred fifty-six".