Search a number
-
+
42272631 = 3311871319
BaseRepresentation
bin1010000101000…
…0011101110111
32221112200011000
42201100131313
541310211011
64110014343
71022211552
oct241203567
987480130
1042272631
1121953065
12121a73b3
1389b10bb
145885699
153aa0356
hex2850777

42272631 has 16 divisors (see below), whose sum is σ = 62726400. Its totient is φ = 28136664.

The previous prime is 42272617. The next prime is 42272639. The reversal of 42272631 is 13627224.

42272631 is a `hidden beast` number, since 4 + 2 + 27 + 2 + 631 = 666.

42272631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42272631 - 29 = 42272119 is a prime.

It is a super-2 number, since 2×422726312 = 3573950663324322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 42272595 and 42272604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42272639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31390 + ... + 32708.

It is an arithmetic number, because the mean of its divisors is an integer number (3920400).

Almost surely, 242272631 is an apocalyptic number.

42272631 is a deficient number, since it is larger than the sum of its proper divisors (20453769).

42272631 is a wasteful number, since it uses less digits than its factorization.

42272631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2509 counting only the distinct ones).

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

The square root of 42272631 is about 6501.7406130974. The cubic root of 42272631 is about 348.3531640661.

Adding to 42272631 its reverse (13627224), we get a palindrome (55899855).

The spelling of 42272631 in words is "forty-two million, two hundred seventy-two thousand, six hundred thirty-one".

Divisors: 1 3 9 27 1187 1319 3561 3957 10683 11871 32049 35613 1565653 4696959 14090877 42272631