Search a number
-
+
42442440 = 2335353687
BaseRepresentation
bin1010000111100…
…1111011001000
32221212022002020
42201321323020
541331124230
64113404440
71023516615
oct241717310
987768066
1042442440
1121a596a7
1212269720
138a40491
1458cb50c
153ad5810
hex2879ec8

42442440 has 32 divisors (see below), whose sum is σ = 127327680. Its totient is φ = 11317952.

The previous prime is 42442427. The next prime is 42442469. The reversal of 42442440 is 4424424.

42442440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42442440.

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, 176724 + ... + 176963.

It is an arithmetic number, because the mean of its divisors is an integer number (3978990).

Almost surely, 242442440 is an apocalyptic number.

42442440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42442440 is an abundant number, since it is smaller than the sum of its proper divisors (84885240).

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

42442440 is a wasteful number, since it uses less digits than its factorization.

42442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353701 (or 353697 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 42442440 is about 6514.7862589651. The cubic root of 42442440 is about 348.8189853384.

Adding to 42442440 its reverse (4424424), we get a palindrome (46866864).

The spelling of 42442440 in words is "forty-two million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 353687 707374 1061061 1414748 1768435 2122122 2829496 3536870 4244244 5305305 7073740 8488488 10610610 14147480 21221220 42442440