Search a number
-
+
42393780 = 22355111361
BaseRepresentation
bin1010000110111…
…0000010110100
32221202211100000
42201232002310
541323100110
64112351300
71023225012
oct241560264
987684300
1042393780
1121a26090
1212245530
138a242a0
1458b78b2
153ac61c0
hex286e0b4

42393780 has 288 divisors, whose sum is σ = 159239808. Its totient is φ = 9331200.

The previous prime is 42393779. The next prime is 42393797. The reversal of 42393780 is 8739324.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 694950 + ... + 695010.

It is an arithmetic number, because the mean of its divisors is an integer number (552916).

Almost surely, 242393780 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 42393780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79619904).

42393780 is an abundant number, since it is smaller than the sum of its proper divisors (116846028).

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

42393780 is a wasteful number, since it uses less digits than its factorization.

42393780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 42393780 is about 6511.0506064690. The cubic root of 42393780 is about 348.6856280774.

The spelling of 42393780 in words is "forty-two million, three hundred ninety-three thousand, seven hundred eighty".