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2873007088 = 247313492371
BaseRepresentation
bin1010101100111110…
…1001101111110000
321102020001212210221
42223033221233300
521340442211323
61153030302424
7131124104650
oct25317515760
97366055727
102873007088
111244812826
126821b7a14
1336a2ac6c3
141d37ca360
1511c35b55d
hexab3e9bf0

2873007088 has 80 divisors (see below), whose sum is σ = 6588467200. Its totient is φ = 1187654400.

The previous prime is 2873007083. The next prime is 2873007091. The reversal of 2873007088 is 8807003782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2873007083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210543 + ... + 1212913.

It is an arithmetic number, because the mean of its divisors is an integer number (82355840).

Almost surely, 22873007088 is an apocalyptic number.

2873007088 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 2873007088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294233600).

2873007088 is an abundant number, since it is smaller than the sum of its proper divisors (3715460112).

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

2873007088 is a wasteful number, since it uses less digits than its factorization.

2873007088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 43.

The square root of 2873007088 is about 53600.4392519315. The cubic root of 2873007088 is about 1421.6048588128.

The spelling of 2873007088 in words is "two billion, eight hundred seventy-three million, seven thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 349 434 496 698 868 1396 1736 2371 2443 2792 3472 4742 4886 5584 9484 9772 10819 16597 18968 19544 21638 33194 37936 39088 43276 66388 73501 75733 86552 132776 147002 151466 173104 265552 294004 302932 514507 588008 605864 827479 1029014 1176016 1211728 1654958 2058028 3309916 4116056 5792353 6619832 8232112 11584706 13239664 23169412 25651849 46338824 51303698 92677648 102607396 179562943 205214792 359125886 410429584 718251772 1436503544 2873007088