Search a number
-
+
42956028 = 22334189109
BaseRepresentation
bin1010001111011…
…1010011111100
32222211101121000
42203313103330
541444043103
64132410300
71031056143
oct243672374
988741530
1042956028
112227a555
1212476990
138b9018b
1459c275a
153b87aa3
hex28f74fc

42956028 has 96 divisors (see below), whose sum is σ = 116424000. Its totient is φ = 13685760.

The previous prime is 42956021. The next prime is 42956029. The reversal of 42956028 is 82065924.

It is a happy number.

42956028 is a `hidden beast` number, since 42 + 9 + 5 + 602 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42955983 and 42956001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42956021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394038 + ... + 394146.

It is an arithmetic number, because the mean of its divisors is an integer number (1212750).

Almost surely, 242956028 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 42956028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58212000).

42956028 is an abundant number, since it is smaller than the sum of its proper divisors (73467972).

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

42956028 is a wasteful number, since it uses less digits than its factorization.

42956028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 42956028 is about 6554.0848331403. The cubic root of 42956028 is about 350.2203456041.

The spelling of 42956028 in words is "forty-two million, nine hundred fifty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 89 108 109 123 164 178 218 246 267 327 356 369 436 492 534 654 738 801 981 1068 1107 1308 1476 1602 1962 2214 2403 2943 3204 3649 3924 4428 4469 4806 5886 7298 8938 9612 9701 10947 11772 13407 14596 17876 19402 21894 26814 29103 32841 38804 40221 43788 53628 58206 65682 80442 87309 98523 116412 120663 131364 160884 174618 197046 241326 261927 349236 394092 397741 482652 523854 795482 1047708 1193223 1590964 2386446 3579669 4772892 7159338 10739007 14318676 21478014 42956028