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42211332 = 22321172537
BaseRepresentation
bin1010000100000…
…1100000000100
32221102120001200
42201001200010
541301230312
64104422500
71021535052
oct241014004
987376050
1042211332
1121910aa9
1212177a30
13898c227
14586b1d2
153a8c0dc
hex2841804

42211332 has 18 divisors (see below), whose sum is σ = 106700958. Its totient is φ = 14070432.

The previous prime is 42211321. The next prime is 42211333. The reversal of 42211332 is 23311224.

It can be written as a sum of positive squares in only one way, i.e., 34292736 + 7918596 = 5856^2 + 2814^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 not an unprimeable number, because it can be changed into a prime (42211333) 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, 586233 + ... + 586304.

It is an arithmetic number, because the mean of its divisors is an integer number (5927831).

Almost surely, 242211332 is an apocalyptic number.

It is an amenable number.

42211332 is an abundant number, since it is smaller than the sum of its proper divisors (64489626).

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

42211332 is a wasteful number, since it uses less digits than its factorization.

42211332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172547 (or 1172542 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 42211332 is about 6497.0248575790. The cubic root of 42211332 is about 348.1847017932.

Adding to 42211332 its reverse (23311224), we get a palindrome (65522556).

The spelling of 42211332 in words is "forty-two million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1172537 2345074 3517611 4690148 7035222 10552833 14070444 21105666 42211332