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1055776304 = 24112619881
BaseRepresentation
bin111110111011011…
…101111000110000
32201120121222211002
4332323131320300
54130234320204
6252432541132
735106644012
oct7673357060
92646558732
101055776304
114a1a5a400
122556b17a8
1313a96880b
14a030a1b2
1562a4c91e
hex3eedde30

1055776304 has 60 divisors (see below), whose sum is σ = 2254621320. Its totient is φ = 478579200.

The previous prime is 1055776283. The next prime is 1055776339. The reversal of 1055776304 is 4036775501.

It is a super-2 number, since 2×10557763042 = 2229327208175800832, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1197944 + ... + 1198824.

It is an arithmetic number, because the mean of its divisors is an integer number (37577022).

Almost surely, 21055776304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055776304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127310660).

1055776304 is an abundant number, since it is smaller than the sum of its proper divisors (1198845016).

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

1055776304 is a wasteful number, since it uses less digits than its factorization.

1055776304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 1055776304 is about 32492.7115519773. The cubic root of 1055776304 is about 1018.2567635348.

The spelling of 1055776304 in words is "one billion, fifty-five million, seven hundred seventy-six thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 619 881 968 1238 1762 1936 2476 3524 4952 6809 7048 9691 9904 13618 14096 19382 27236 38764 54472 74899 77528 106601 108944 149798 155056 213202 299596 426404 545339 599192 852808 1090678 1198384 1705616 2181356 4362712 5998729 8725424 11997458 23994916 47989832 65986019 95979664 131972038 263944076 527888152 1055776304