Search a number
-
+
2093645988 = 223376534241
BaseRepresentation
bin111110011001010…
…1000000010100100
312101220120020101000
41330302220002210
513241433132423
6543430033300
7102611461110
oct17462500244
95356506330
102093645988
11984899245
124a51a8830
132749a49a5
1415c0b4740
15c3c0e843
hex7cca80a4

2093645988 has 96 divisors (see below), whose sum is σ = 6214360320. Its totient is φ = 597127680.

The previous prime is 2093645987. The next prime is 2093645989. The reversal of 2093645988 is 8895463902.

2093645988 is a `hidden beast` number, since 20 + 93 + 6 + 459 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (2093645987) and next prime (2093645989).

It is a super-2 number, since 2×20936459882 = 8766707046136992288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2093645987) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 491548 + ... + 495788.

It is an arithmetic number, because the mean of its divisors is an integer number (64732920).

Almost surely, 22093645988 is an apocalyptic number.

2093645988 is a gapful number since it is divisible by the number (28) 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 2093645988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107180160).

2093645988 is an abundant number, since it is smaller than the sum of its proper divisors (4120714332).

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

2093645988 is a wasteful number, since it uses less digits than its factorization.

2093645988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 2093645988 is about 45756.3764736676. The cubic root of 2093645988 is about 1279.2863021654.

The spelling of 2093645988 in words is "two billion, ninety-three million, six hundred forty-five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 653 756 1306 1959 2612 3918 4241 4571 5877 7836 8482 9142 11754 12723 13713 16964 17631 18284 23508 25446 27426 29687 35262 38169 41139 50892 54852 59374 70524 76338 82278 89061 114507 118748 123417 152676 164556 178122 229014 246834 267183 356244 458028 493668 534366 801549 1068732 1603098 2769373 3206196 5538746 8308119 11077492 16616238 19385611 24924357 33232476 38771222 49848714 58156833 74773071 77542444 99697428 116313666 149546142 174470499 232627332 299092284 348940998 523411497 697881996 1046822994 2093645988