Search a number
-
+
1053228512 = 25723204431
BaseRepresentation
bin111110110001101…
…111110111100000
32201101211112220102
4332301233313200
54124111303022
6252302201532
735046203030
oct7661576740
92641745812
101053228512
114a057a196
122548832a8
1313a285c4b
149dc458c0
15626e7a92
hex3ec6fde0

1053228512 has 48 divisors (see below), whose sum is σ = 2472809472. Its totient is φ = 431756160.

The previous prime is 1053228497. The next prime is 1053228551. The reversal of 1053228512 is 2158223501.

It is a super-2 number, since 2×10532285122 = 2218580596979468288, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 97064 + ... + 107367.

It is an arithmetic number, because the mean of its divisors is an integer number (51516864).

Almost surely, 21053228512 is an apocalyptic number.

It is an amenable number.

1053228512 is an abundant number, since it is smaller than the sum of its proper divisors (1419580960).

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

1053228512 is a wasteful number, since it uses less digits than its factorization.

1053228512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204471 (or 204463 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 1053228512 is about 32453.4822784859. The cubic root of 1053228512 is about 1017.4370204123.

The spelling of 1053228512 in words is "one billion, fifty-three million, two hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 204431 408862 817724 1431017 1635448 2862034 3270896 4701913 5724068 6541792 9403826 11448136 18807652 22896272 32913391 37615304 45792544 65826782 75230608 131653564 150461216 263307128 526614256 1053228512