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42366324 = 223711133527
BaseRepresentation
bin1010000110011…
…1010101110100
32221201102200010
42201213111310
541321210244
64112020220
71023051660
oct241472564
987642603
1042366324
1121a074a0
1212231670
138a14940
1458ab8a0
153abceb9
hex2867574

42366324 has 96 divisors (see below), whose sum is σ = 132765696. Its totient is φ = 10154880.

The previous prime is 42366323. The next prime is 42366341.

It is a happy number.

42366324 is nontrivially palindromic in base 10.

42366324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42366291 and 42366300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42366323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10249 + ... + 13775.

It is an arithmetic number, because the mean of its divisors is an integer number (1382976).

Almost surely, 242366324 is an apocalyptic number.

42366324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42366324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66382848).

42366324 is an abundant number, since it is smaller than the sum of its proper divisors (90399372).

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

42366324 is a wasteful number, since it uses less digits than its factorization.

42366324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565 (or 3563 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 42366324 is about 6508.9418494868. The cubic root of 42366324 is about 348.6103373147.

The spelling of 42366324 in words is "forty-two million, three hundred sixty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 3527 4004 6006 7054 10581 12012 14108 21162 24689 38797 42324 45851 49378 74067 77594 91702 98756 116391 137553 148134 155188 183404 232782 271579 275106 296268 320957 465564 504361 543158 550212 641914 814737 962871 1008722 1086316 1283828 1513083 1629474 1925742 2017444 3026166 3258948 3530527 3851484 6052332 7061054 10591581 14122108 21183162 42366324