Search a number
-
+
42923016 = 23322961337
BaseRepresentation
bin1010001110111…
…1010000001000
32222202201022100
42203233100020
541442014031
64131553400
71030560663
oct243572010
988681270
1042923016
1122257774
121245b860
138b7b146
1459b46da
153b7cde6
hex28ef408

42923016 has 96 divisors (see below), whose sum is σ = 122592600. Its totient is φ = 13547520.

The previous prime is 42922993. The next prime is 42923017. The reversal of 42923016 is 61032924.

42923016 is a `hidden beast` number, since 429 + 230 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20738916 + 22184100 = 4554^2 + 4710^2 .

It is not an unprimeable number, because it can be changed into a prime (42923017) 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 23 ways as a sum of consecutive naturals, for example, 127200 + ... + 127536.

Almost surely, 242923016 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 42923016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61296300).

42923016 is an abundant number, since it is smaller than the sum of its proper divisors (79669584).

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

42923016 is a wasteful number, since it uses less digits than its factorization.

42923016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42923016 is about 6551.5659196867. The cubic root of 42923016 is about 350.1306070385.

The spelling of 42923016 in words is "forty-two million, nine hundred twenty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 61 72 87 116 122 174 183 232 244 261 337 348 366 488 522 549 674 696 732 1011 1044 1098 1348 1464 1769 2022 2088 2196 2696 3033 3538 4044 4392 5307 6066 7076 8088 9773 10614 12132 14152 15921 19546 20557 21228 24264 29319 31842 39092 41114 42456 58638 61671 63684 78184 82228 87957 117276 123342 127368 164456 175914 185013 234552 246684 351828 370026 493368 596153 703656 740052 1192306 1480104 1788459 2384612 3576918 4769224 5365377 7153836 10730754 14307672 21461508 42923016