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2042746200 = 23325211283113
BaseRepresentation
bin111100111000001…
…1101010101011000
312021100210020222200
41321300131111120
513140420334300
6534411050200
7101423025165
oct17160352530
95240706880
102042746200
11959093500
12490140960
13267292b81
1415542506c
15be508200
hex79c1d558

2042746200 has 432 divisors, whose sum is σ = 7698960360. Its totient is φ = 484915200.

The previous prime is 2042746187. The next prime is 2042746201. The reversal of 2042746200 is 26472402.

It is a happy number.

It is a super-2 number, since 2×20427462002 = 8345624075228880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042746201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18077344 + ... + 18077456.

Almost surely, 22042746200 is an apocalyptic number.

2042746200 is a gapful number since it is divisible by the number (20) 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 2042746200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849480180).

2042746200 is an abundant number, since it is smaller than the sum of its proper divisors (5656214160).

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

2042746200 is a wasteful number, since it uses less digits than its factorization.

2042746200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2042746200 is about 45196.7498831498. The cubic root of 2042746200 is about 1268.8339887940.

The spelling of 2042746200 in words is "two billion, forty-two million, seven hundred forty-six thousand, two hundred".