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42188355 = 3251185229
BaseRepresentation
bin1010000011101…
…1111001000011
32221101101112200
42200323321003
541300011410
64104124243
71021411056
oct240737103
987341480
1042188355
11218a5810
1212166683
138981931
145862a9d
153a853c0
hex283be43

42188355 has 24 divisors (see below), whose sum is σ = 79775280. Its totient is φ = 20454720.

The previous prime is 42188353. The next prime is 42188369. The reversal of 42188355 is 55388124.

It is a happy number.

42188355 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42188355 - 21 = 42188353 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (42188353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42120 + ... + 43109.

It is an arithmetic number, because the mean of its divisors is an integer number (3323970).

Almost surely, 242188355 is an apocalyptic number.

42188355 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42188355 is a deficient number, since it is larger than the sum of its proper divisors (37586925).

42188355 is a wasteful number, since it uses less digits than its factorization.

42188355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85251 (or 85248 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 42188355 is about 6495.2563459805. The cubic root of 42188355 is about 348.1215142434.

The spelling of 42188355 in words is "forty-two million, one hundred eighty-eight thousand, three hundred fifty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 85229 255687 426145 767061 937519 1278435 2812557 3835305 4687595 8437671 14062785 42188355