Search a number
-
+
2813313492 = 2233112368109
BaseRepresentation
bin1010011110101111…
…1100000111010100
321021001202010121000
42213223330013110
521230202012432
61143055023300
7126500525103
oct24753740724
97231663530
102813313492
111214051080
1266620ab30
1335ab0c052
141c98cc03a
15116eb957c
hexa7afc1d4

2813313492 has 48 divisors (see below), whose sum is σ = 7956849600. Its totient is φ = 852518880.

The previous prime is 2813313491. The next prime is 2813313497. The reversal of 2813313492 is 2943133182.

2813313492 is a `hidden beast` number, since 28 + 133 + 13 + 492 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813313491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1182867 + ... + 1185242.

It is an arithmetic number, because the mean of its divisors is an integer number (165767700).

Almost surely, 22813313492 is an apocalyptic number.

2813313492 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2813313492 is an abundant number, since it is smaller than the sum of its proper divisors (5143536108).

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

2813313492 is a wasteful number, since it uses less digits than its factorization.

2813313492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368133 (or 2368125 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2813313492 is about 53040.6777106025. The cubic root of 2813313492 is about 1411.6901235857.

The spelling of 2813313492 in words is "two billion, eight hundred thirteen million, three hundred thirteen thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2368109 4736218 7104327 9472436 14208654 21312981 26049199 28417308 42625962 52098398 63938943 78147597 85251924 104196796 127877886 156295194 234442791 255755772 312590388 468885582 703328373 937771164 1406656746 2813313492