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42440432 = 2417337463
BaseRepresentation
bin1010000111100…
…1011011110000
32221212012022212
42201321123300
541331043212
64113351252
71023511016
oct241713360
987765285
1042440432
1121a58141
1212268528
138a3c5a8
1458ca8b6
153ad4e22
hex28796f0

42440432 has 40 divisors (see below), whose sum is σ = 87512256. Its totient is φ = 19869696.

The previous prime is 42440423. The next prime is 42440537. The reversal of 42440432 is 23404424.

42440432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42440398 and 42440407.

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 7 ways as a sum of consecutive naturals, for example, 91433 + ... + 91895.

Almost surely, 242440432 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 42440432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43756128).

42440432 is an abundant number, since it is smaller than the sum of its proper divisors (45071824).

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

42440432 is a wasteful number, since it uses less digits than its factorization.

42440432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 42440432 is about 6514.6321461768. The cubic root of 42440432 is about 348.8134842443.

Adding to 42440432 its reverse (23404424), we get a palindrome (65844856).

The spelling of 42440432 in words is "forty-two million, four hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 337 463 674 926 1348 1852 2696 3704 5392 5729 7408 7871 11458 15742 22916 31484 45832 62968 91664 125936 156031 312062 624124 1248248 2496496 2652527 5305054 10610108 21220216 42440432