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2840093088 = 25377016029
BaseRepresentation
bin1010100101001000…
…0110000110100000
321022221010200021220
42221102012012200
521304030434323
61145453015040
7130244251530
oct25122060640
97287120256
102840093088
111228181a78
12673184480
13363527271
141cd29d4c0
151195090e3
hexa94861a0

2840093088 has 96 divisors (see below), whose sum is σ = 8533848960. Its totient is φ = 810163200.

The previous prime is 2840093051. The next prime is 2840093093. The reversal of 2840093088 is 8803900482.

It is a happy number.

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

It is a super-2 number, since 2×28400930882 = 16132257497010751488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468058 + ... + 474086.

It is an arithmetic number, because the mean of its divisors is an integer number (88894260).

Almost surely, 22840093088 is an apocalyptic number.

2840093088 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 2840093088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266924480).

2840093088 is an abundant number, since it is smaller than the sum of its proper divisors (5693755872).

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

2840093088 is a wasteful number, since it uses less digits than its factorization.

2840093088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6750 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 2840093088 is about 53292.5237533371. The cubic root of 2840093088 is about 1416.1552225382.

The spelling of 2840093088 in words is "two billion, eight hundred forty million, ninety-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 701 1402 2103 2804 4206 4907 5608 6029 8412 9814 11216 12058 14721 16824 18087 19628 22432 24116 29442 33648 36174 39256 42203 48232 58884 67296 72348 78512 84406 96464 117768 126609 144696 157024 168812 192928 235536 253218 289392 337624 471072 506436 578784 675248 1012872 1350496 2025744 4051488 4226329 8452658 12678987 16905316 25357974 29584303 33810632 50715948 59168606 67621264 88752909 101431896 118337212 135242528 177505818 202863792 236674424 355011636 405727584 473348848 710023272 946697696 1420046544 2840093088