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42240627 = 321113231427
BaseRepresentation
bin1010000100100…
…0101001110011
32221111001020200
42201020221303
541303200002
64105210243
71022016342
oct241105163
987431220
1042240627
1121931010
1212190983
13899c670
145877b59
153a95b1c
hex2848a73

42240627 has 48 divisors (see below), whose sum is σ = 74850048. Its totient is φ = 22587840.

The previous prime is 42240623. The next prime is 42240641. The reversal of 42240627 is 72604224.

It is a happy number.

It is not a de Polignac number, because 42240627 - 22 = 42240623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42240627.

It is not an unprimeable number, because it can be changed into a prime (42240623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28888 + ... + 30314.

It is an arithmetic number, because the mean of its divisors is an integer number (1559376).

Almost surely, 242240627 is an apocalyptic number.

42240627 is a deficient number, since it is larger than the sum of its proper divisors (32609421).

42240627 is a wasteful number, since it uses less digits than its factorization.

42240627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 42240627 is about 6499.2789600078. The cubic root of 42240627 is about 348.2652308172.

The spelling of 42240627 in words is "forty-two million, two hundred forty thousand, six hundred twenty-seven".

Divisors: 1 3 9 11 13 23 33 39 69 99 117 143 207 253 299 429 759 897 1287 1427 2277 2691 3289 4281 9867 12843 15697 18551 29601 32821 47091 55653 98463 141273 166959 204061 295389 361031 426673 612183 1083093 1280019 1836549 3249279 3840057 4693403 14080209 42240627