Search a number
-
+
42644592 = 24323141233
BaseRepresentation
bin1010001010101…
…1010001110000
32222020120101100
42202223101300
541404111332
64122004400
71025321154
oct242532160
988216340
1042644592
1122087571
1212346700
138ab14b3
145941064
153b2567c
hex28ab470

42644592 has 120 divisors (see below), whose sum is σ = 126741888. Its totient is φ = 13363200.

The previous prime is 42644579. The next prime is 42644593. The reversal of 42644592 is 29544624.

42644592 is a `hidden beast` number, since 4 + 2 + 64 + 4 + 592 = 666.

It is a super-2 number, since 2×426445922 = 3637122453692928, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42644593) 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, 182908 + ... + 183140.

Almost surely, 242644592 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 42644592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63370944).

42644592 is an abundant number, since it is smaller than the sum of its proper divisors (84097296).

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

42644592 is a wasteful number, since it uses less digits than its factorization.

42644592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 42644592 is about 6530.2826891338. The cubic root of 42644592 is about 349.3719130064.

The spelling of 42644592 in words is "forty-two million, six hundred forty-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 41 48 62 72 82 93 123 124 144 164 186 233 246 248 279 328 369 372 466 492 496 558 656 699 738 744 932 984 1116 1271 1398 1476 1488 1864 1968 2097 2232 2542 2796 2952 3728 3813 4194 4464 5084 5592 5904 7223 7626 8388 9553 10168 11184 11439 14446 15252 16776 19106 20336 21669 22878 28659 28892 30504 33552 38212 43338 45756 57318 57784 61008 65007 76424 85977 86676 91512 114636 115568 130014 152848 171954 173352 183024 229272 260028 296143 343908 346704 458544 520056 592286 687816 888429 1040112 1184572 1375632 1776858 2369144 2665287 3553716 4738288 5330574 7107432 10661148 14214864 21322296 42644592