Search a number
-
+
42141935 = 51143103173
BaseRepresentation
bin1010000011000…
…0100011101111
32221022000212102
42200300203233
541242020220
64103125315
71021125533
oct240604357
987260772
1042141935
1121873950
121214383b
138966774
14584dbc3
153a76775
hex28308ef

42141935 has 32 divisors (see below), whose sum is σ = 57328128. Its totient is φ = 29473920.

The previous prime is 42141923. The next prime is 42141937. The reversal of 42141935 is 53914124.

It is not a de Polignac number, because 42141935 - 224 = 25364719 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 42141898 and 42141907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42141937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243509 + ... + 243681.

It is an arithmetic number, because the mean of its divisors is an integer number (1791504).

Almost surely, 242141935 is an apocalyptic number.

42141935 is a deficient number, since it is larger than the sum of its proper divisors (15186193).

42141935 is a wasteful number, since it uses less digits than its factorization.

42141935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335.

The product of its digits is 4320, while the sum is 29.

The square root of 42141935 is about 6491.6819854334. The cubic root of 42141935 is about 347.9937875977.

The spelling of 42141935 in words is "forty-two million, one hundred forty-one thousand, nine hundred thirty-five".

Divisors: 1 5 11 43 55 103 173 215 473 515 865 1133 1903 2365 4429 5665 7439 9515 17819 22145 37195 48719 81829 89095 196009 243595 409145 766217 980045 3831085 8428387 42141935