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42484167 = 321131109127
BaseRepresentation
bin1010001000010…
…0000111000111
32221221102022200
42202010013013
541333443132
64114325543
71024052355
oct242040707
987842280
1042484167
1121a87a90
12122898b3
138a5647b
1458dc7d5
153ae2d7c
hex28841c7

42484167 has 48 divisors (see below), whose sum is σ = 70287360. Its totient is φ = 24494400.

The previous prime is 42484153. The next prime is 42484201. The reversal of 42484167 is 76148424.

It is not a de Polignac number, because 42484167 - 212 = 42480071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42484147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334458 + ... + 334584.

It is an arithmetic number, because the mean of its divisors is an integer number (1464320).

Almost surely, 242484167 is an apocalyptic number.

42484167 is a deficient number, since it is larger than the sum of its proper divisors (27803193).

42484167 is a wasteful number, since it uses less digits than its factorization.

42484167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 281 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 42484167 is about 6517.9879564172. The cubic root of 42484167 is about 348.9332609115.

The spelling of 42484167 in words is "forty-two million, four hundred eighty-four thousand, one hundred sixty-seven".

Divisors: 1 3 9 11 31 33 93 99 109 127 279 327 341 381 981 1023 1143 1199 1397 3069 3379 3597 3937 4191 10137 10791 11811 12573 13843 30411 35433 37169 41529 43307 111507 124587 129921 152273 334521 389763 429133 456819 1287399 1370457 3862197 4720463 14161389 42484167