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2838506104 = 23731795779
BaseRepresentation
bin1010100100110000…
…0010101001111000
321022211011001100201
42221030002221320
521303124143404
61145355011544
7130224622000
oct25114025170
97284131321
102838506104
111227298715
12672739bb4
133630bcb15
141ccda9000
151192e3ca4
hexa9302a78

2838506104 has 64 divisors (see below), whose sum is σ = 6242400000. Its totient is φ = 1209497184.

The previous prime is 2838506101. The next prime is 2838506113. The reversal of 2838506104 is 4016058382.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2838506101) 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 15 ways as a sum of consecutive naturals, for example, 488287 + ... + 494065.

It is an arithmetic number, because the mean of its divisors is an integer number (97537500).

Almost surely, 22838506104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2838506104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121200000).

2838506104 is an abundant number, since it is smaller than the sum of its proper divisors (3403893896).

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

2838506104 is a wasteful number, since it uses less digits than its factorization.

2838506104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5985 (or 5967 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 2838506104 is about 53277.6323047487. The cubic root of 2838506104 is about 1415.8914008555.

The spelling of 2838506104 in words is "two billion, eight hundred thirty-eight million, five hundred six thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 179 196 343 358 392 686 716 1253 1372 1432 2506 2744 5012 5779 8771 10024 11558 17542 23116 35084 40453 46232 61397 70168 80906 122794 161812 245588 283171 323624 491176 566342 1034441 1132684 1982197 2068882 2265368 3964394 4137764 7241087 7928788 8275528 14482174 15857576 28964348 50687609 57928696 101375218 202750436 354813263 405500872 709626526 1419253052 2838506104