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2056609872 = 243313136341
BaseRepresentation
bin111101010010101…
…0110000001010000
312022022212121101000
41322211112001100
513202443003442
6540024142000
7101651616102
oct17245260120
95268777330
102056609872
119659a2489
12494907900
1326a108225
141571d3572
15c0845d4c
hex7a956050

2056609872 has 80 divisors (see below), whose sum is σ = 5948458560. Its totient is φ = 680284800.

The previous prime is 2056609859. The next prime is 2056609873. The reversal of 2056609872 is 2789066502.

2056609872 is a `hidden beast` number, since 2 + 0 + 566 + 0 + 9 + 87 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056609873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38422 + ... + 74762.

It is an arithmetic number, because the mean of its divisors is an integer number (74355732).

Almost surely, 22056609872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056609872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974229280).

2056609872 is an abundant number, since it is smaller than the sum of its proper divisors (3891848688).

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

2056609872 is a wasteful number, since it uses less digits than its factorization.

2056609872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36489 (or 36477 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2056609872 is about 45349.8607715614. The cubic root of 2056609872 is about 1271.6979524898.

The spelling of 2056609872 in words is "two billion, fifty-six million, six hundred nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 131 144 216 262 393 432 524 786 1048 1179 1572 2096 2358 3144 3537 4716 6288 7074 9432 14148 18864 28296 36341 56592 72682 109023 145364 218046 290728 327069 436092 581456 654138 872184 981207 1308276 1744368 1962414 2616552 3924828 4760671 5233104 7849656 9521342 14282013 15699312 19042684 28564026 38085368 42846039 57128052 76170736 85692078 114256104 128538117 171384156 228512208 257076234 342768312 514152468 685536624 1028304936 2056609872