Search a number
-
+
2872882296 = 2333731671091
BaseRepresentation
bin1010101100111100…
…1011010001111000
321102012211112122000
42223033023101320
521340424213141
61153023501000
7131123045064
oct25317132170
97365745560
102872882296
111244737a99
12682157760
1336a26796b
141d3796aa4
1511c3345b6
hexab3cb478

2872882296 has 128 divisors (see below), whose sum is σ = 8145446400. Its totient is φ = 937992960.

The previous prime is 2872882277. The next prime is 2872882297. The reversal of 2872882296 is 6922882782.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872882297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2632711 + ... + 2633801.

It is an arithmetic number, because the mean of its divisors is an integer number (63636300).

Almost surely, 22872882296 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 2872882296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072723200).

2872882296 is an abundant number, since it is smaller than the sum of its proper divisors (5272564104).

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

2872882296 is a wasteful number, since it uses less digits than its factorization.

2872882296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1336 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 2872882296 is about 53599.2751443525. The cubic root of 2872882296 is about 1421.5842755614.

The spelling of 2872882296 in words is "two billion, eight hundred seventy-two million, eight hundred eighty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 167 216 219 292 334 438 501 584 657 668 876 1002 1091 1314 1336 1503 1752 1971 2004 2182 2628 3006 3273 3942 4008 4364 4509 5256 6012 6546 7884 8728 9018 9819 12024 12191 13092 15768 18036 19638 24382 26184 29457 36072 36573 39276 48764 58914 73146 78552 79643 97528 109719 117828 146292 159286 182197 219438 235656 238929 292584 318572 329157 364394 438876 477858 546591 637144 658314 716787 728788 877752 955716 1093182 1316628 1433574 1457576 1639773 1911432 2150361 2186364 2633256 2867148 3279546 4300722 4372728 4919319 5734296 6559092 8601444 9838638 13118184 13300381 17202888 19677276 26600762 39354552 39901143 53201524 79802286 106403048 119703429 159604572 239406858 319209144 359110287 478813716 718220574 957627432 1436441148 2872882296