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42122232 = 2332585031
BaseRepresentation
bin1010000010101…
…1101111111000
32221021000211200
42200223233320
541240402412
64102454200
71021014225
oct240535770
987230750
1042122232
1121860069
1212134360
13895a7c9
14584694c
153a709dc
hex282bbf8

42122232 has 24 divisors (see below), whose sum is σ = 114081240. Its totient is φ = 14040720.

The previous prime is 42122231. The next prime is 42122233. The reversal of 42122232 is 23222124.

It is an interprime number because it is at equal distance from previous prime (42122231) and next prime (42122233).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42122231) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 292444 + ... + 292587.

It is an arithmetic number, because the mean of its divisors is an integer number (4753385).

Almost surely, 242122232 is an apocalyptic number.

It is an amenable number.

42122232 is an abundant number, since it is smaller than the sum of its proper divisors (71959008).

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

42122232 is a wasteful number, since it uses less digits than its factorization.

42122232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585043 (or 585036 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 42122232 is about 6490.1642506180. The cubic root of 42122232 is about 347.9395455825.

Adding to 42122232 its reverse (23222124), we get a palindrome (65344356).

The spelling of 42122232 in words is "forty-two million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 585031 1170062 1755093 2340124 3510186 4680248 5265279 7020372 10530558 14040744 21061116 42122232