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2056894609 = 72112192312
BaseRepresentation
bin111101010011001…
…1011100010010001
312022100102001221211
41322212123202101
513203031111414
6540034220121
7101654213200
oct17246334221
95270361854
102056894609
11966077400
12494a24641
1326a1a7a03
14157269237
15c08a03c4
hex7a99b891

2056894609 has 81 divisors (see below), whose sum is σ = 2868142473. Its totient is φ = 1469437200.

The previous prime is 2056894589. The next prime is 2056894621. The reversal of 2056894609 is 9064986502.

The square root of 2056894609 is 45353.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 2056894609 - 29 = 2056894097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (2056894009) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 66351424 + ... + 66351454.

Almost surely, 22056894609 is an apocalyptic number.

2056894609 is the 45353-rd square number.

2056894609 is the 22677-th centered octagonal number.

It is an amenable number.

2056894609 is a deficient number, since it is larger than the sum of its proper divisors (811247864).

2056894609 is a wasteful number, since it uses less digits than its factorization.

2056894609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The cubic root of 2056894609 is about 1271.7566385107.

Multiplying 2056894609 by its sum of digits (49), we get a square (100787835841 = 3174712).

2056894609 divided by its sum of digits (49) gives a square (41977441 = 64792).

The spelling of 2056894609 in words is "two billion, fifty-six million, eight hundred ninety-four thousand, six hundred nine".

Divisors: 1 7 11 19 31 49 77 121 133 209 217 341 361 539 589 847 931 961 1463 1519 2299 2387 2527 3751 3971 4123 5929 6479 6727 10241 10571 11191 16093 16709 17689 18259 26257 27797 28861 43681 45353 47089 71269 73997 78337 112651 116281 123101 127813 183799 194579 200849 305767 317471 346921 498883 517979 548359 813967 861707 894691 1354111 1405943 2140369 2209339 2428447 3492181 3816131 5697769 6031949 9478777 9841601 15465373 16999129 26712917 41977441 66351439 108257611 186990419 293842087 2056894609