Search a number
-
+
42953967 = 327681809
BaseRepresentation
bin1010001111011…
…0110011101111
32222211021202200
42203312303233
541444011332
64132352543
71031050140
oct243666357
988737680
1042953967
1122278a51
1212475753
138b8c264
1459c1ac7
153b8717c
hex28f6cef

42953967 has 12 divisors (see below), whose sum is σ = 70908240. Its totient is φ = 24545088.

The previous prime is 42953909. The next prime is 42953993. The reversal of 42953967 is 76935924.

It is a happy number.

It is not a de Polignac number, because 42953967 - 27 = 42953839 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42953567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340842 + ... + 340967.

It is an arithmetic number, because the mean of its divisors is an integer number (5909020).

Almost surely, 242953967 is an apocalyptic number.

42953967 is a deficient number, since it is larger than the sum of its proper divisors (27954273).

42953967 is a wasteful number, since it uses less digits than its factorization.

42953967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681822 (or 681819 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 42953967 is about 6553.9276010649. The cubic root of 42953967 is about 350.2147444059.

The spelling of 42953967 in words is "forty-two million, nine hundred fifty-three thousand, nine hundred sixty-seven".

Divisors: 1 3 7 9 21 63 681809 2045427 4772663 6136281 14317989 42953967