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42555344 = 24131091877
BaseRepresentation
bin1010001001010…
…1011111010000
32222002000221212
42202111133100
541343232334
64120035252
71024500026
oct242253720
988060855
1042555344
1122026507
1212302b28
138a7c9a0
14591a716
153b08ece
hex28957d0

42555344 has 40 divisors (see below), whose sum is σ = 89655720. Its totient is φ = 19450368.

The previous prime is 42555329. The next prime is 42555347. The reversal of 42555344 is 44355524.

It can be written as a sum of positive squares in 4 ways, for example, as 5345344 + 37210000 = 2312^2 + 6100^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42555344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42555347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21734 + ... + 23610.

It is an arithmetic number, because the mean of its divisors is an integer number (2241393).

Almost surely, 242555344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42555344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44827860).

42555344 is an abundant number, since it is smaller than the sum of its proper divisors (47100376).

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

42555344 is a wasteful number, since it uses less digits than its factorization.

42555344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 2001 counting only the distinct ones).

The product of its digits is 48000, while the sum is 32.

The square root of 42555344 is about 6523.4457152643. The cubic root of 42555344 is about 349.1280171188.

The spelling of 42555344 in words is "forty-two million, five hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 109 208 218 436 872 1417 1744 1877 2834 3754 5668 7508 11336 15016 22672 24401 30032 48802 97604 195208 204593 390416 409186 818372 1636744 2659709 3273488 5319418 10638836 21277672 42555344