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2906806938 = 2372915231567
BaseRepresentation
bin1010110101000010…
…0101101010011010
321111120200002111020
42231100211222122
521423120310223
61200234543310
7132014310540
oct25520455232
97446602436
102906806938
1112618a9092
12691597b36
133742b5109
141d80a7d90
151202d61e3
hexad425a9a

2906806938 has 64 divisors (see below), whose sum is σ = 6882140160. Its totient is φ = 800839872.

The previous prime is 2906806937. The next prime is 2906806943. The reversal of 2906806938 is 8396086092.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2906806933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1854231 + ... + 1855797.

It is an arithmetic number, because the mean of its divisors is an integer number (107533440).

Almost surely, 22906806938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2906806938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441070080).

2906806938 is an abundant number, since it is smaller than the sum of its proper divisors (3975333222).

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

2906806938 is a wasteful number, since it uses less digits than its factorization.

2906806938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131.

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 2906806938 is about 53914.8118609348. The cubic root of 2906806938 is about 1427.1580209774.

The spelling of 2906806938 in words is "two billion, nine hundred six million, eight hundred six thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1218 1523 1567 3046 3134 4569 4701 9138 9402 10661 10969 21322 21938 31983 32907 44167 45443 63966 65814 88334 90886 132501 136329 265002 272658 309169 318101 618338 636202 927507 954303 1855014 1908606 2386541 4773082 7159623 14319246 16705787 33411574 50117361 69209689 100234722 138419378 207629067 415258134 484467823 968935646 1453403469 2906806938