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42133164 = 22311633019
BaseRepresentation
bin1010000010111…
…0011010101100
32221021120211120
42200232122230
541241230124
64103020540
71021061133
oct240563254
987246746
1042133164
11218682a7
121213a750
138962788
14584a91a
153a73d79
hex282e6ac

42133164 has 24 divisors (see below), whose sum is σ = 98427840. Its totient is φ = 14027664.

The previous prime is 42133159. The next prime is 42133193. The reversal of 42133164 is 46133124.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12447 + ... + 15465.

It is an arithmetic number, because the mean of its divisors is an integer number (4101160).

Almost surely, 242133164 is an apocalyptic number.

It is an amenable number.

42133164 is an abundant number, since it is smaller than the sum of its proper divisors (56294676).

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

42133164 is a wasteful number, since it uses less digits than its factorization.

42133164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189 (or 4187 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 42133164 is about 6491.0063934647. The cubic root of 42133164 is about 347.9696432762.

Adding to 42133164 its reverse (46133124), we get a palindrome (88266288).

The spelling of 42133164 in words is "forty-two million, one hundred thirty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 1163 2326 3019 3489 4652 6038 6978 9057 12076 13956 18114 36228 3511097 7022194 10533291 14044388 21066582 42133164