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42213941 = 7211172271
BaseRepresentation
bin1010000100001…
…0001000110101
32221102200122022
42201002020311
541301321231
64104442525
71021545500
oct241021065
987380568
1042213941
1121912a60
1212179445
138990483
14586c137
153a8cc7b
hex2842235

42213941 has 36 divisors (see below), whose sum is σ = 57116736. Its totient is φ = 30844800.

The previous prime is 42213931. The next prime is 42213959. The reversal of 42213941 is 14931224.

It is a de Polignac number, because none of the positive numbers 2k-42213941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42213941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42213931) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155636 + ... + 155906.

It is an arithmetic number, because the mean of its divisors is an integer number (1586576).

Almost surely, 242213941 is an apocalyptic number.

It is an amenable number.

42213941 is a deficient number, since it is larger than the sum of its proper divisors (14902795).

42213941 is a wasteful number, since it uses less digits than its factorization.

42213941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 306 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 42213941 is about 6497.2256386861. The cubic root of 42213941 is about 348.1918751843.

The spelling of 42213941 in words is "forty-two million, two hundred thirteen thousand, nine hundred forty-one".

Divisors: 1 7 11 17 49 77 119 187 271 289 539 833 1309 1897 2023 2981 3179 4607 9163 13279 14161 20867 22253 32249 50677 78319 146069 155771 225743 354739 548233 861509 2483173 3837631 6030563 42213941