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42267132 = 22322335039
BaseRepresentation
bin1010000100111…
…1000111111100
32221112101121100
42201033013330
541310022012
64105533100
71022156535
oct241170774
987471540
1042267132
1121949a16
12121a4190
1389ab74b
14588368c
153a9d8dc
hex284f1fc

42267132 has 36 divisors (see below), whose sum is σ = 107321760. Its totient is φ = 14025792.

The previous prime is 42267131. The next prime is 42267139. The reversal of 42267132 is 23176224.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 42267096 and 42267105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42267131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5869 + ... + 10907.

It is an arithmetic number, because the mean of its divisors is an integer number (2981160).

Almost surely, 242267132 is an apocalyptic number.

It is an amenable number.

42267132 is an abundant number, since it is smaller than the sum of its proper divisors (65054628).

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

42267132 is a wasteful number, since it uses less digits than its factorization.

42267132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5282 (or 5277 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 42267132 is about 6501.3177125872. The cubic root of 42267132 is about 348.3380583340.

The spelling of 42267132 in words is "forty-two million, two hundred sixty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 699 932 1398 2097 2796 4194 5039 8388 10078 15117 20156 30234 45351 60468 90702 181404 1174087 2348174 3522261 4696348 7044522 10566783 14089044 21133566 42267132