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2056844592 = 2432113313923
BaseRepresentation
bin111101010011000…
…1111010100110000
312022100022112100100
41322212033110300
513203023011332
6540033152400
7101653614315
oct17246172460
95270275310
102056844592
11966042870
124949bb700
1326a18b00a
14157254d0c
15c089067c
hex7a98f530

2056844592 has 120 divisors (see below), whose sum is σ = 6300186048. Its totient is φ = 621244800.

The previous prime is 2056844579. The next prime is 2056844599. The reversal of 2056844592 is 2954486502.

2056844592 is a `hidden beast` number, since 2 + 0 + 56 + 8 + 4 + 4 + 592 = 666.

2056844592 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2056844599) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522343 + ... + 526265.

Almost surely, 22056844592 is an apocalyptic number.

2056844592 is a gapful number since it is divisible by the number (22) 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 2056844592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150093024).

2056844592 is an abundant number, since it is smaller than the sum of its proper divisors (4243341456).

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

2056844592 is a wasteful number, since it uses less digits than its factorization.

2056844592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2056844592 is about 45352.4485777780. The cubic root of 2056844592 is about 1271.7463300961.

It can be divided in two parts, 205684 and 4592, that added together give a triangular number (210276 = T648).

The spelling of 2056844592 in words is "two billion, fifty-six million, eight hundred forty-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 331 396 528 662 792 993 1324 1584 1986 2648 2979 3641 3923 3972 5296 5958 7282 7846 7944 10923 11769 11916 14564 15692 15888 21846 23538 23832 29128 31384 32769 35307 43153 43692 47076 47664 58256 62768 65538 70614 86306 87384 94152 129459 131076 141228 172612 174768 188304 258918 262152 282456 345224 388377 517836 524304 564912 690448 776754 1035672 1298513 1553508 2071344 2597026 3107016 3895539 5194052 6214032 7791078 10388104 11686617 14283643 15582156 20776208 23373234 28567286 31164312 42850929 46746468 57134572 62328624 85701858 93492936 114269144 128552787 171403716 186985872 228538288 257105574 342807432 514211148 685614864 1028422296 2056844592