Search a number
-
+
42354810 = 2325470609
BaseRepresentation
bin1010000110010…
…0100001111010
32221200211212200
42201210201322
541320323220
64111451030
71023003261
oct241444172
987624780
1042354810
11219a9883
1212226a76
138a0c624
1458a75d8
153ab9890
hex286487a

42354810 has 24 divisors (see below), whose sum is σ = 110122740. Its totient is φ = 11294592.

The previous prime is 42354797. The next prime is 42354811. The reversal of 42354810 is 1845324.

It can be written as a sum of positive squares in 2 ways, for example, as 42263001 + 91809 = 6501^2 + 303^2 .

It is a super-2 number, since 2×423548102 = 3587859860272200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42354811) 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 11 ways as a sum of consecutive naturals, for example, 235215 + ... + 235394.

Almost surely, 242354810 is an apocalyptic number.

42354810 is an abundant number, since it is smaller than the sum of its proper divisors (67767930).

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

42354810 is a wasteful number, since it uses less digits than its factorization.

42354810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470622 (or 470619 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42354810 is about 6508.0573138226. The cubic root of 42354810 is about 348.5787535573.

It can be divided in two parts, 4235 and 4810, that added together give a triangular number (9045 = T134).

The spelling of 42354810 in words is "forty-two million, three hundred fifty-four thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 470609 941218 1411827 2353045 2823654 4235481 4706090 7059135 8470962 14118270 21177405 42354810