Search a number
-
+
42274584 = 23321153377
BaseRepresentation
bin1010000101000…
…0111100011000
32221112202211100
42201100330120
541310241314
64110031400
71022220342
oct241207430
987482740
1042274584
1121954580
12121a8560
1389b1c61
145886292
153aa0c09
hex2850f18

42274584 has 48 divisors (see below), whose sum is σ = 124904520. Its totient is φ = 12810240.

The previous prime is 42274579. The next prime is 42274619. The reversal of 42274584 is 48547224.

42274584 is a `hidden beast` number, since 4 + 2 + 2 + 74 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25897 + ... + 27480.

Almost surely, 242274584 is an apocalyptic number.

42274584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42274584 is an abundant number, since it is smaller than the sum of its proper divisors (82629936).

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

42274584 is a wasteful number, since it uses less digits than its factorization.

42274584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53400 (or 53393 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 42274584 is about 6501.8908019129. The cubic root of 42274584 is about 348.3585286345.

The spelling of 42274584 in words is "forty-two million, two hundred seventy-four thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 53377 106754 160131 213508 320262 427016 480393 587147 640524 960786 1174294 1281048 1761441 1921572 2348588 3522882 3843144 4697176 5284323 7045764 10568646 14091528 21137292 42274584