Search a number
-
+
42689792 = 281031619
BaseRepresentation
bin1010001011011…
…0010100000000
32222022212101102
42202312110000
541412033132
64122553532
71025600015
oct242662400
988285342
1042689792
1122108522
12123688a8
138ac8c42
14595370c
153b33c62
hex28b6500

42689792 has 36 divisors (see below), whose sum is σ = 86093280. Its totient is φ = 21124608.

The previous prime is 42689791. The next prime is 42689851. The reversal of 42689792 is 29798624.

It is a super-3 number, since 3×426897923 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42689791) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25559 + ... + 27177.

It is an arithmetic number, because the mean of its divisors is an integer number (2391480).

Almost surely, 242689792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42689792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43046640).

42689792 is an abundant number, since it is smaller than the sum of its proper divisors (43403488).

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

42689792 is a wasteful number, since it uses less digits than its factorization.

42689792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1724 counting only the distinct ones).

The product of its digits is 435456, while the sum is 47.

The square root of 42689792 is about 6533.7425722169. The cubic root of 42689792 is about 349.4953052406.

The spelling of 42689792 in words is "forty-two million, six hundred eighty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 824 1619 1648 3238 3296 6476 6592 12952 13184 25904 26368 51808 103616 166757 207232 333514 414464 667028 1334056 2668112 5336224 10672448 21344896 42689792