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1056352256 = 2111730341
BaseRepresentation
bin111110111101101…
…010100000000000
32201121201020212122
4332331222200000
54130411233011
6252453143412
735114563121
oct7675524000
92647636778
101056352256
114a23130a3
1225592ab68
1313ab0aa0b
14a041a048
1562b133db
hex3ef6a800

1056352256 has 48 divisors (see below), whose sum is σ = 2236508820. Its totient is φ = 497090560.

The previous prime is 1056352247. The next prime is 1056352259. The reversal of 1056352256 is 6522536501.

It can be written as a sum of positive squares in 2 ways, for example, as 1054950400 + 1401856 = 32480^2 + 1184^2 .

It is a super-2 number, since 2×10563522562 = 2231760177512579072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056352259) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19646 + ... + 49986.

Almost surely, 21056352256 is an apocalyptic number.

1056352256 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 1056352256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118254410).

1056352256 is an abundant number, since it is smaller than the sum of its proper divisors (1180156564).

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

1056352256 is an equidigital number, since it uses as much as digits as its factorization.

1056352256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30380 (or 30360 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The square root of 1056352256 is about 32501.5731311578. The cubic root of 1056352256 is about 1018.4418912636.

Adding to 1056352256 its reverse (6522536501), we get a palindrome (7578888757).

The spelling of 1056352256 in words is "one billion, fifty-six million, three hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 4352 8704 17408 30341 34816 60682 121364 242728 485456 515797 970912 1031594 1941824 2063188 3883648 4126376 7767296 8252752 15534592 16505504 31069184 33011008 62138368 66022016 132044032 264088064 528176128 1056352256