Search a number
-
+
2092836096 = 28331323291
BaseRepresentation
bin111110010111110…
…0010010100000000
312101212001002102000
41330233202110000
513241231223341
6543400424000
7102601545651
oct17457422400
95355032360
102092836096
1198439580a
124a4a78000
13274780170
1415bd43528
15c3aee8b6
hex7cbe2500

2092836096 has 144 divisors (see below), whose sum is σ = 6665238720. Its totient is φ = 643921920.

The previous prime is 2092836089. The next prime is 2092836113. The reversal of 2092836096 is 6906382902.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78211 + ... + 101501.

It is an arithmetic number, because the mean of its divisors is an integer number (46286380).

Almost surely, 22092836096 is an apocalyptic number.

2092836096 is a gapful number since it is divisible by the number (26) 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 2092836096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332619360).

2092836096 is an abundant number, since it is smaller than the sum of its proper divisors (4572402624).

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

2092836096 is a wasteful number, since it uses less digits than its factorization.

2092836096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23329 (or 23309 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2092836096 is about 45747.5255724285. The cubic root of 2092836096 is about 1279.1213240405.

The spelling of 2092836096 in words is "two billion, ninety-two million, eight hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1404 1664 1728 1872 2304 2496 2808 3328 3456 3744 4992 5616 6912 7488 9984 11232 14976 22464 23291 29952 44928 46582 69873 89856 93164 139746 186328 209619 279492 302783 372656 419238 558984 605566 628857 745312 838476 908349 1117968 1211132 1257714 1490624 1676952 1816698 2235936 2422264 2515428 2725047 2981248 3353904 3633396 4471872 4844528 5030856 5450094 5962496 6707808 7266792 8175141 8943744 9689056 10061712 10900188 13415616 14533584 16350282 17887488 19378112 20123424 21800376 26831232 29067168 32700564 38756224 40246848 43600752 53662464 58134336 65401128 77512448 80493696 87201504 116268672 130802256 160987392 174403008 232537344 261604512 348806016 523209024 697612032 1046418048 2092836096