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2492042900 = 225226992641
BaseRepresentation
bin1001010010001001…
…1000111010010100
320102200012220012012
42110202120322110
520100430333100
61051141043352
7115520005124
oct22442307224
96380186165
102492042900
111069769796
125966b6558
133093a46c9
14198d7cc84
15e8ba8135
hex94898e94

2492042900 has 36 divisors (see below), whose sum is σ = 5427894780. Its totient is φ = 993100800.

The previous prime is 2492042867. The next prime is 2492042909. The reversal of 2492042900 is 92402942.

It can be written as a sum of positive squares in 6 ways, for example, as 9412624 + 2482630276 = 3068^2 + 49826^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2492042909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19421 + ... + 73220.

It is an arithmetic number, because the mean of its divisors is an integer number (150774855).

Almost surely, 22492042900 is an apocalyptic number.

2492042900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2492042900 is an abundant number, since it is smaller than the sum of its proper divisors (2935851880).

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

2492042900 is a wasteful number, since it uses less digits than its factorization.

2492042900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92924 (or 92917 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 2492042900 is about 49920.3655835972. The cubic root of 2492042900 is about 1355.7673517444.

It can be divided in two parts, 2492042 and 900, that added together give a palindrome (2492942).

The spelling of 2492042900 in words is "two billion, four hundred ninety-two million, forty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 269 538 1076 1345 2690 5380 6725 13450 26900 92641 185282 370564 463205 926410 1852820 2316025 4632050 9264100 24920429 49840858 99681716 124602145 249204290 498408580 623010725 1246021450 2492042900