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1056799744 = 210711131031
BaseRepresentation
bin111110111111010…
…111110000000000
32201122112222201021
4332333113300000
54131020042434
6252510515224
735121435550
oct7677276000
92648488637
101056799744
114a2599320
12255b05b14
1313ac365c0
14a04d5160
1562ba0cb4
hex3efd7c00

1056799744 has 176 divisors, whose sum is σ = 2839205376. Its totient is φ = 379699200.

The previous prime is 1056799739. The next prime is 1056799763. The reversal of 1056799744 is 4479976501.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-3 number, since 3×10567997443 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 1056799691 and 1056799700.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1024509 + ... + 1025539.

Almost surely, 21056799744 is an apocalyptic number.

1056799744 is a gapful number since it is divisible by the number (14) 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 1056799744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419602688).

1056799744 is an abundant number, since it is smaller than the sum of its proper divisors (1782405632).

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

1056799744 is a wasteful number, since it uses less digits than its factorization.

1056799744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The square root of 1056799744 is about 32508.4564998094. The cubic root of 1056799744 is about 1018.5856804793.

The spelling of 1056799744 in words is "one billion, fifty-six million, seven hundred ninety-nine thousand, seven hundred forty-four".