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42135272 = 235266909
BaseRepresentation
bin1010000010111…
…0111011101000
32221021200201122
42200232323220
541241312042
64103034412
71021100234
oct240567350
987250648
1042135272
1121869943
121213ba08
13896371a
14584b5c4
153a747d2
hex282eee8

42135272 has 8 divisors (see below), whose sum is σ = 79003650. Its totient is φ = 21067632.

The previous prime is 42135271. The next prime is 42135277. The reversal of 42135272 is 27253124.

42135272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 34035556 + 8099716 = 5834^2 + 2846^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×421352722 = 3550762293027968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42135271) 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 as a sum of consecutive naturals, namely, 2633447 + ... + 2633462.

Almost surely, 242135272 is an apocalyptic number.

It is an amenable number.

42135272 is a deficient number, since it is larger than the sum of its proper divisors (36868378).

42135272 is a wasteful number, since it uses less digits than its factorization.

42135272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5266915 (or 5266911 counting only the distinct ones).

The product of its digits is 3360, while the sum is 26.

The square root of 42135272 is about 6491.1687699520. The cubic root of 42135272 is about 347.9754463673.

Adding to 42135272 its reverse (27253124), we get a palindrome (69388396).

The spelling of 42135272 in words is "forty-two million, one hundred thirty-five thousand, two hundred seventy-two".

Divisors: 1 2 4 8 5266909 10533818 21067636 42135272