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42594048 = 2832719139
BaseRepresentation
bin1010001001111…
…0111100000000
32222011000001100
42202132330000
541401002143
64120534400
71025020620
oct242367400
988130040
1042594048
11220525a2
1212321400
138a944a3
14592a880
153b156d3
hex289ef00

42594048 has 216 divisors, whose sum is σ = 148803200. Its totient is φ = 11446272.

The previous prime is 42594001. The next prime is 42594049. The reversal of 42594048 is 84049524.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42594049) 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 23 ways as a sum of consecutive naturals, for example, 306363 + ... + 306501.

Almost surely, 242594048 is an apocalyptic number.

42594048 is a gapful number since it is divisible by the number (48) 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 42594048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74401600).

42594048 is an abundant number, since it is smaller than the sum of its proper divisors (106209152).

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

42594048 is a wasteful number, since it uses less digits than its factorization.

42594048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 42594048 is about 6526.4115714533. The cubic root of 42594048 is about 349.2338287905.

The spelling of 42594048 in words is "forty-two million, five hundred ninety-four thousand, forty-eight".