Search a number
-
+
42474942 = 235175397
BaseRepresentation
bin1010001000000…
…1110110111110
32221220221200000
42202001312332
541333144232
64114215130
71024013436
oct242016676
987827600
1042474942
1121a81064
12122844a6
138a52203
1458d92c6
153ae027c
hex2881dbe

42474942 has 96 divisors (see below), whose sum is σ = 104019552. Its totient is φ = 12939264.

The previous prime is 42474923. The next prime is 42474953. The reversal of 42474942 is 24947424.

42474942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×424749423 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42474897 and 42474906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437838 + ... + 437934.

It is an arithmetic number, because the mean of its divisors is an integer number (1083537).

Almost surely, 242474942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42474942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52009776).

42474942 is an abundant number, since it is smaller than the sum of its proper divisors (61544610).

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

42474942 is a wasteful number, since it uses less digits than its factorization.

42474942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 42474942 is about 6517.2802609678. The cubic root of 42474942 is about 348.9080033268.

The spelling of 42474942 in words is "forty-two million, four hundred seventy-four thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 53 54 81 97 102 106 153 159 162 194 243 291 306 318 459 477 486 582 873 901 918 954 1377 1431 1649 1746 1802 2619 2703 2754 2862 3298 4131 4293 4947 5141 5238 5406 7857 8109 8262 8586 9894 10282 12879 14841 15423 15714 16218 23571 24327 25758 29682 30846 44523 46269 47142 48654 72981 87397 89046 92538 133569 138807 145962 174794 218943 262191 267138 277614 400707 416421 437886 524382 786573 801414 832842 1249263 1573146 2359719 2498526 4719438 7079157 14158314 21237471 42474942