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42272055 = 32572191009
BaseRepresentation
bin1010000101000…
…0010100110111
32221112122100200
42201100110313
541310201210
64110011543
71022210100
oct241202467
987478320
1042272055
1121952691
12121a6bb3
1389b0a67
1458853a7
153aa00c0
hex2850537

42272055 has 72 divisors (see below), whose sum is σ = 89809200. Its totient is φ = 18289152.

The previous prime is 42272039. The next prime is 42272059. The reversal of 42272055 is 55027224.

It is not a de Polignac number, because 42272055 - 24 = 42272039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42272059) 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 71 ways as a sum of consecutive naturals, for example, 41391 + ... + 42399.

It is an arithmetic number, because the mean of its divisors is an integer number (1247350).

Almost surely, 242272055 is an apocalyptic number.

42272055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42272055 is an abundant number, since it is smaller than the sum of its proper divisors (47537145).

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

42272055 is a wasteful number, since it uses less digits than its factorization.

42272055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 42272055 is about 6501.6963171160. The cubic root of 42272055 is about 348.3515818578.

Adding to 42272055 its reverse (55027224), we get a palindrome (97299279).

The spelling of 42272055 in words is "forty-two million, two hundred seventy-two thousand, fifty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 49 57 63 95 105 133 147 171 245 285 315 399 441 665 735 855 931 1009 1197 1995 2205 2793 3027 4655 5045 5985 7063 8379 9081 13965 15135 19171 21189 35315 41895 45405 49441 57513 63567 95855 105945 134197 148323 172539 247205 287565 317835 402591 444969 670985 741615 862695 939379 1207773 2012955 2224845 2818137 4696895 6038865 8454411 14090685 42272055