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2042456 = 231341479
BaseRepresentation
bin111110010101001011000
310211202201112
413302221120
51010324311
6111435452
723234453
oct7625130
93752645
102042456
111175589
12825b88
13566870
143b249a
152a528b
hex1f2a58

2042456 has 32 divisors (see below), whose sum is σ = 4233600. Its totient is φ = 917760.

The previous prime is 2042449. The next prime is 2042459. The reversal of 2042456 is 6542402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4025 + ... + 4503.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

22042456 is an apocalyptic number.

2042456 is a gapful number since it is divisible by the number (26) 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 2042456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116800).

2042456 is an abundant number, since it is smaller than the sum of its proper divisors (2191144).

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

2042456 is a wasteful number, since it uses less digits than its factorization.

2042456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2042456 is about 1429.1451990613. The cubic root of 2042456 is about 126.8773900882.

Adding to 2042456 its reverse (6542402), we get a palindrome (8584858).

The spelling of 2042456 in words is "two million, forty-two thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 479 533 958 1066 1916 2132 3832 4264 6227 12454 19639 24908 39278 49816 78556 157112 255307 510614 1021228 2042456