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2053858092 = 22311134312777
BaseRepresentation
bin111101001101011…
…0110001100101100
312022010200210122020
41322122312030230
513201241424332
6535445150140
7101616335316
oct17232661454
95263623566
102053858092
11964392a90
124939bb350
13269683860
14156ab87b6
15c04a082c
hex7a6b632c

2053858092 has 96 divisors (see below), whose sum is σ = 5645251584. Its totient is φ = 572966400.

The previous prime is 2053858057. The next prime is 2053858099. The reversal of 2053858092 is 2908583502.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2053858099) 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, 738208 + ... + 740984.

It is an arithmetic number, because the mean of its divisors is an integer number (58804704).

Almost surely, 22053858092 is an apocalyptic number.

2053858092 is a gapful number since it is divisible by the number (22) 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 2053858092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822625792).

2053858092 is an abundant number, since it is smaller than the sum of its proper divisors (3591393492).

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

2053858092 is a wasteful number, since it uses less digits than its factorization.

2053858092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 2053858092 is about 45319.5111624122. The cubic root of 2053858092 is about 1271.1305146287.

The spelling of 2053858092 in words is "two billion, fifty-three million, eight hundred fifty-eight thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 431 572 858 862 1293 1716 1724 2586 2777 4741 5172 5554 5603 8331 9482 11108 11206 14223 16662 16809 18964 22412 28446 30547 33324 33618 36101 56892 61094 61633 67236 72202 91641 108303 122188 123266 144404 183282 184899 216606 246532 366564 369798 397111 433212 739596 794222 1191333 1196887 1588444 2382666 2393774 3590661 4765332 4787548 7181322 13165757 14362644 15559531 26331514 31119062 39497271 46678593 52663028 62238124 78994542 93357186 157989084 171154841 186714372 342309682 513464523 684619364 1026929046 2053858092