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1055628288 = 21034111389
BaseRepresentation
bin111110111010111…
…001110000000000
32201120100110210000
4332322321300000
54130220101123
6252425440000
735105456331
oct7672716000
92646313700
101055628288
114a1969180
12255640000
1313a916330
14a02ac288
1562a1db43
hex3eeb9c00

1055628288 has 440 divisors, whose sum is σ = 3745027440. Its totient is φ = 291962880.

The previous prime is 1055628283. The next prime is 1055628289. The reversal of 1055628288 is 8828265501.

1055628288 is a `hidden beast` number, since 1 + 0 + 5 + 562 + 8 + 2 + 88 = 666.

1055628288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10556282882 = 2228702164851621888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055628281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11860948 + ... + 11861036.

It is an arithmetic number, because the mean of its divisors is an integer number (8511426).

Almost surely, 21055628288 is an apocalyptic number.

1055628288 is a gapful number since it is divisible by the number (18) 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 1055628288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872513720).

1055628288 is an abundant number, since it is smaller than the sum of its proper divisors (2689399152).

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

1055628288 is a wasteful number, since it uses less digits than its factorization.

1055628288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 1055628288 is about 32490.4337921180. The cubic root of 1055628288 is about 1018.2091760120.

The spelling of 1055628288 in words is "one billion, fifty-five million, six hundred twenty-eight thousand, two hundred eighty-eight".