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2813745438 = 23473767061
BaseRepresentation
bin1010011110110110…
…0101100100011110
321021002120002010000
42213231211210132
521230304323223
61143112155130
7126504304320
oct24755454436
97232502100
102813745438
111214316659
12666398aa6
1335ac3083a
141c99a1610
15117052543
hexa7b6591e

2813745438 has 80 divisors (see below), whose sum is σ = 7400425824. Its totient is φ = 782187840.

The previous prime is 2813745437. The next prime is 2813745439. The reversal of 2813745438 is 8345473182.

2813745438 is a `hidden beast` number, since 28 + 13 + 74 + 543 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2813745437) and next prime (2813745439).

It is a junction number, because it is equal to n+sod(n) for n = 2813745393 and 2813745402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813745437) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8428 + ... + 75488.

Almost surely, 22813745438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813745438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700212912).

2813745438 is an abundant number, since it is smaller than the sum of its proper divisors (4586680386).

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

2813745438 is a wasteful number, since it uses less digits than its factorization.

2813745438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67119 (or 67110 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2813745438 is about 53044.7493914336. The cubic root of 2813745438 is about 1411.7623684906.

The spelling of 2813745438 in words is "two billion, eight hundred thirteen million, seven hundred forty-five thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 81 111 126 162 189 222 259 333 378 518 567 666 777 999 1134 1554 1998 2331 2997 4662 5994 6993 13986 20979 41958 67061 134122 201183 402366 469427 603549 938854 1207098 1408281 1810647 2481257 2816562 3621294 4224843 4962514 5431941 7443771 8449686 10863882 12674529 14887542 17368799 22331313 25349058 34737598 38023587 44662626 52106397 66993939 76047174 104212794 133987878 156319191 200981817 312638382 401963634 468957573 937915146 1406872719 2813745438