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1053785856 = 2835325889
BaseRepresentation
bin111110110011110…
…111111100000000
32201102212212102210
4332303313330000
54124232121411
6252322142120
735054013654
oct7663677400
92642785383
101053785856
114a091aa02
12254ab1940
1313a41c836
149dd4ca64
15627a7ca6
hex3ecf7f00

1053785856 has 72 divisors (see below), whose sum is σ = 2857634640. Its totient is φ = 344621056.

The previous prime is 1053785839. The next prime is 1053785867. The reversal of 1053785856 is 6585873501.

It is a super-2 number, since 2×10537858562 = 2220929260611305472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 27760 + ... + 53648.

It is an arithmetic number, because the mean of its divisors is an integer number (39689370).

Almost surely, 21053785856 is an apocalyptic number.

1053785856 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 1053785856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428817320).

1053785856 is an abundant number, since it is smaller than the sum of its proper divisors (1803848784).

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

1053785856 is an equidigital number, since it uses as much as digits as its factorization.

1053785856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25961 (or 25947 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 48.

The square root of 1053785856 is about 32462.0679563086. The cubic root of 1053785856 is about 1017.6164567569.

The spelling of 1053785856 in words is "one billion, fifty-three million, seven hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 636 768 848 1272 1696 2544 3392 5088 6784 10176 13568 20352 25889 40704 51778 77667 103556 155334 207112 310668 414224 621336 828448 1242672 1372117 1656896 2485344 2744234 3313792 4116351 4970688 5488468 6627584 8232702 9941376 10976936 16465404 19882752 21953872 32930808 43907744 65861616 87815488 131723232 175630976 263446464 351261952 526892928 1053785856