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2092605024 = 25389257953
BaseRepresentation
bin111110010111010…
…1001111001100000
312101211121100102210
41330232221321200
513241201330044
6543351442120
7102566564166
oct17456517140
95354540383
102092605024
11984248144
124a4986340
132746cbc33
1415bcc3236
15c3aa61b9
hex7cba9e60

2092605024 has 96 divisors (see below), whose sum is σ = 5582273760. Its totient is φ = 686292992.

The previous prime is 2092605001. The next prime is 2092605083. The reversal of 2092605024 is 4205062902.

It is a Cunningham number, because it is equal to 457452-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2092604982 and 2092605000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2195332 + ... + 2196284.

It is an arithmetic number, because the mean of its divisors is an integer number (58148685).

Almost surely, 22092605024 is an apocalyptic number.

2092605024 is a gapful number since it is divisible by the number (24) 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 2092605024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791136880).

2092605024 is an abundant number, since it is smaller than the sum of its proper divisors (3489668736).

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

2092605024 is a wasteful number, since it uses less digits than its factorization.

2092605024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2092605024 is about 45744.9999890698. Note that the first 4 decimals coincide. The cubic root of 2092605024 is about 1279.0742459787.

Adding to 2092605024 its reverse (4205062902), we get a palindrome (6297667926).

The spelling of 2092605024 in words is "two billion, ninety-two million, six hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 257 267 356 514 534 712 771 953 1028 1068 1424 1542 1906 2056 2136 2848 2859 3084 3812 4112 4272 5718 6168 7624 8224 8544 11436 12336 15248 22872 22873 24672 30496 45744 45746 68619 84817 91488 91492 137238 169634 182984 244921 254451 274476 339268 365968 489842 508902 548952 678536 731936 734763 979684 1017804 1097904 1357072 1469526 1959368 2035608 2195808 2714144 2939052 3918736 4071216 5878104 7837472 8142432 11756208 21797969 23512416 43595938 65393907 87191876 130787814 174383752 261575628 348767504 523151256 697535008 1046302512 2092605024