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2482133820 = 2235313132169
BaseRepresentation
bin1001001111110010…
…0101101100111100
320101222120110111020
42103330211230330
520040411240240
61050144424140
7115336534515
oct22374455474
96358513436
102482133820
111064110971
12593318050
1330731534a
1419791da0c
15e7d9c0d0
hex93f25b3c

2482133820 has 48 divisors (see below), whose sum is σ = 6972231840. Its totient is φ = 659782656.

The previous prime is 2482133813. The next prime is 2482133827. The reversal of 2482133820 is 283312842.

It is an interprime number because it is at equal distance from previous prime (2482133813) and next prime (2482133827).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2482133827) 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, 47305 + ... + 84864.

It is an arithmetic number, because the mean of its divisors is an integer number (145254830).

Almost surely, 22482133820 is an apocalyptic number.

2482133820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2482133820 is an abundant number, since it is smaller than the sum of its proper divisors (4490098020).

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

2482133820 is a wasteful number, since it uses less digits than its factorization.

2482133820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132494 (or 132492 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2482133820 is about 49821.0178539138. The cubic root of 2482133820 is about 1353.9679909407.

The spelling of 2482133820 in words is "two billion, four hundred eighty-two million, one hundred thirty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 313 626 939 1252 1565 1878 3130 3756 4695 6260 9390 18780 132169 264338 396507 528676 660845 793014 1321690 1586028 1982535 2643380 3965070 7930140 41368897 82737794 124106691 165475588 206844485 248213382 413688970 496426764 620533455 827377940 1241066910 2482133820