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1055811456 = 27337192297
BaseRepresentation
bin111110111011100…
…110011110000000
32201120200210001000
4332323212132000
54130241431311
6252433412000
735110151340
oct7673463600
92646623030
101055811456
114a1a83857
1225570a000
1313a97b80b
14a0318d20
1562a58056
hex3eee6780

1055811456 has 256 divisors, whose sum is σ = 3750336000. Its totient is φ = 285659136.

The previous prime is 1055811443. The next prime is 1055811457. The reversal of 1055811456 is 6541185501.

1055811456 is a `hidden beast` number, since 10 + 5 + 581 + 14 + 56 = 666.

It is a super-2 number, since 2×10558114562 = 2229475661241679872, 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 1055811456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055811457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458500 + ... + 460796.

It is an arithmetic number, because the mean of its divisors is an integer number (14649750).

Almost surely, 21055811456 is an apocalyptic number.

1055811456 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 1055811456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875168000).

1055811456 is an abundant number, since it is smaller than the sum of its proper divisors (2694524544).

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

1055811456 is a wasteful number, since it uses less digits than its factorization.

1055811456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The square root of 1055811456 is about 32493.2524687819. The cubic root of 1055811456 is about 1018.2680643392.

Adding to 1055811456 its reverse (6541185501), we get a palindrome (7596996957).

The spelling of 1055811456 in words is "one billion, fifty-five million, eight hundred eleven thousand, four hundred fifty-six".