Search a number
-
+
2056848800 = 255219135319
BaseRepresentation
bin111101010011001…
…0000010110100000
312022100022202010012
41322212100112200
513203023130200
6540033224052
7101653632506
oct17246202640
95270282105
102056848800
11966045a46
12494a02028
1326a18cbc6
14157256676
15c0891a35
hex7a9905a0

2056848800 has 72 divisors (see below), whose sum is σ = 5285599200. Its totient is φ = 779431680.

The previous prime is 2056848767. The next prime is 2056848817. The reversal of 2056848800 is 88486502.

It is a super-2 number, since 2×20568488002 = 8461253972122880000, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 52460 + ... + 82859.

It is an arithmetic number, because the mean of its divisors is an integer number (73411100).

Almost surely, 22056848800 is an apocalyptic number.

2056848800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2056848800 is an abundant number, since it is smaller than the sum of its proper divisors (3228750400).

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

2056848800 is a wasteful number, since it uses less digits than its factorization.

2056848800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135358 (or 135345 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 2056848800 is about 45352.4949699573. The cubic root of 2056848800 is about 1271.7471973639.

The spelling of 2056848800 in words is "two billion, fifty-six million, eight hundred forty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 380 400 475 608 760 800 950 1520 1900 3040 3800 7600 15200 135319 270638 541276 676595 1082552 1353190 2165104 2571061 2706380 3382975 4330208 5142122 5412760 6765950 10284244 10825520 12855305 13531900 20568488 21651040 25710610 27063800 41136976 51421220 54127600 64276525 82273952 102842440 108255200 128553050 205684880 257106100 411369760 514212200 1028424400 2056848800