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42441432 = 23311373431
BaseRepresentation
bin1010000111100…
…1101011011000
32221212020200220
42201321223120
541331111212
64113400040
71023513645
oct241715330
987766626
1042441432
1121a58970
1212269020
138a3cb97
1458cadcc
153ad538c
hex2879ad8

42441432 has 64 divisors (see below), whose sum is σ = 116328960. Its totient is φ = 12796800.

The previous prime is 42441403. The next prime is 42441461. The reversal of 42441432 is 23414424.

It is a happy number.

42441432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42441403) and next prime (42441461).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

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 15 ways as a sum of consecutive naturals, for example, 98257 + ... + 98687.

It is an arithmetic number, because the mean of its divisors is an integer number (1817640).

Almost surely, 242441432 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 42441432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58164480).

42441432 is an abundant number, since it is smaller than the sum of its proper divisors (73887528).

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

42441432 is a wasteful number, since it uses less digits than its factorization.

42441432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 820 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 42441432 is about 6514.7088960290. The cubic root of 42441432 is about 348.8162238547.

Adding to 42441432 its reverse (23414424), we get a palindrome (65855856).

The spelling of 42441432 in words is "forty-two million, four hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 373 431 746 862 1119 1293 1492 1724 2238 2586 2984 3448 4103 4476 4741 5172 8206 8952 9482 10344 12309 14223 16412 18964 24618 28446 32824 37928 49236 56892 98472 113784 160763 321526 482289 643052 964578 1286104 1768393 1929156 3536786 3858312 5305179 7073572 10610358 14147144 21220716 42441432