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2491824852 = 2232119764871
BaseRepresentation
bin1001010010000110…
…0011101011010100
320102122210211002100
42110201203223110
520100401343402
61051132242100
7115515106326
oct22441435324
96378724070
102491824852
11106962a990
12596610330
1330932939a
14198d23616
15e8b6371c
hex94863ad4

2491824852 has 72 divisors (see below), whose sum is σ = 6942341952. Its totient is φ = 747302400.

The previous prime is 2491824817. The next prime is 2491824859. The reversal of 2491824852 is 2584281942.

2491824852 is a `hidden beast` number, since 2 + 4 + 91 + 82 + 485 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2491824798 and 2491824807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2491824859) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5977 + ... + 70847.

It is an arithmetic number, because the mean of its divisors is an integer number (96421416).

Almost surely, 22491824852 is an apocalyptic number.

2491824852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2491824852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471170976).

2491824852 is an abundant number, since it is smaller than the sum of its proper divisors (4450517100).

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

2491824852 is a wasteful number, since it uses less digits than its factorization.

2491824852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64989 (or 64984 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 2491824852 is about 49918.1815774573. The cubic root of 2491824852 is about 1355.7278084200.

It can be divided in two parts, 24918 and 24852, that added together give a triangular number (49770 = T315).

The spelling of 2491824852 in words is "two billion, four hundred ninety-one million, eight hundred twenty-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 132 194 198 291 388 396 582 873 1067 1164 1746 2134 3201 3492 4268 6402 9603 12804 19206 38412 64871 129742 194613 259484 389226 583839 713581 778452 1167678 1427162 2140743 2335356 2854324 4281486 6292487 6422229 8562972 12584974 12844458 18877461 25169948 25688916 37754922 56632383 69217357 75509844 113264766 138434714 207652071 226529532 276869428 415304142 622956213 830608284 1245912426 2491824852