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2557242 = 2321761137
BaseRepresentation
bin1001110000010100111010
311210220212200
421300110322
51123312432
6130451030
730510342
oct11602472
94726780
102557242
111497326
12a33a76
136b6c7c
144a7d22
15357a7c
hex27053a

2557242 has 48 divisors (see below), whose sum is σ = 6006312. Its totient is φ = 783360.

The previous prime is 2557241. The next prime is 2557273. The reversal of 2557242 is 2427552.

It can be written as a sum of positive squares in 4 ways, for example, as 1962801 + 594441 = 1401^2 + 771^2 .

It is not an unprimeable number, because it can be changed into a prime (2557241) 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, 18598 + ... + 18734.

22557242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2557242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003156).

2557242 is an abundant number, since it is smaller than the sum of its proper divisors (3449070).

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

2557242 is a wasteful number, since it uses less digits than its factorization.

2557242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 220 counting only the distinct ones).

The product of its digits is 5600, while the sum is 27.

The square root of 2557242 is about 1599.1378927410. The cubic root of 2557242 is about 136.7489318977.

The spelling of 2557242 in words is "two million, five hundred fifty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 137 153 183 274 306 366 411 549 822 1037 1098 1233 2074 2329 2466 3111 4658 6222 6987 8357 9333 13974 16714 18666 20961 25071 41922 50142 75213 142069 150426 284138 426207 852414 1278621 2557242