Search a number
-
+
42522948 = 22331331977
BaseRepresentation
bin1010001000110…
…1100101000100
32222000101112000
42202031211010
541341213243
64115225300
71024303416
oct242154504
988011460
1042522948
1122004136
12122a8230
138a6b010
14590c9b6
153aee5d3
hex288d944

42522948 has 96 divisors (see below), whose sum is σ = 122680320. Its totient is φ = 12648960.

The previous prime is 42522947. The next prime is 42522973. The reversal of 42522948 is 84922524.

42522948 is a `hidden beast` number, since 42 + 522 + 94 + 8 = 666.

It is a super-2 number, since 2×425229482 = 3616402213221408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (42522943) 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, 43036 + ... + 44012.

It is an arithmetic number, because the mean of its divisors is an integer number (1277920).

Almost surely, 242522948 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 42522948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61340160).

42522948 is an abundant number, since it is smaller than the sum of its proper divisors (80157372).

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

42522948 is a wasteful number, since it uses less digits than its factorization.

42522948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1026 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 42522948 is about 6520.9621989397. The cubic root of 42522948 is about 349.0394013582.

The spelling of 42522948 in words is "forty-two million, five hundred twenty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 186 234 279 351 372 403 468 558 702 806 837 977 1116 1209 1404 1612 1674 1954 2418 2931 3348 3627 3908 4836 5862 7254 8793 10881 11724 12701 14508 17586 21762 25402 26379 30287 35172 38103 43524 50804 52758 60574 76206 90861 105516 114309 121148 152412 181722 228618 272583 342927 363444 393731 457236 545166 685854 787462 817749 1090332 1181193 1371708 1574924 1635498 2362386 3270996 3543579 4724772 7087158 10630737 14174316 21261474 42522948