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1056502016 = 28291011409
BaseRepresentation
bin111110111110001…
…111000100000000
32201121222212022022
4332332033010000
54130431031031
6252500301012
735116055543
oct7676170400
92647885268
101056502016
114a2405669
122559a1768
1313ab60c2b
14a045885a
1562b4297b
hex3ef8f100

1056502016 has 72 divisors (see below), whose sum is σ = 2204760600. Its totient is φ = 504627200.

The previous prime is 1056501983. The next prime is 1056502021. The reversal of 1056502016 is 6102056501.

1056502016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 132342016 + 924160000 = 11504^2 + 30400^2 .

It is a super-2 number, since 2×10565020162 = 2232393019624128512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 749120 + ... + 750528.

It is an arithmetic number, because the mean of its divisors is an integer number (30621675).

Almost surely, 21056502016 is an apocalyptic number.

1056502016 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 1056502016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102380300).

1056502016 is an abundant number, since it is smaller than the sum of its proper divisors (1148258584).

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

1056502016 is a wasteful number, since it uses less digits than its factorization.

1056502016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 1056502016 is about 32503.8769379900. The cubic root of 1056502016 is about 1018.4900174607.

Adding to 1056502016 its reverse (6102056501), we get a palindrome (7158558517).

The spelling of 1056502016 in words is "one billion, fifty-six million, five hundred two thousand, sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 101 116 128 202 232 256 404 464 808 928 1409 1616 1856 2818 2929 3232 3712 5636 5858 6464 7424 11272 11716 12928 22544 23432 25856 40861 45088 46864 81722 90176 93728 142309 163444 180352 187456 284618 326888 360704 374912 569236 653776 749824 1138472 1307552 2276944 2615104 4126961 4553888 5230208 8253922 9107776 10460416 16507844 18215552 33015688 36431104 66031376 132062752 264125504 528251008 1056502016