Search a number
-
+
42237984 = 2532231973
BaseRepresentation
bin1010000100100…
…0000000100000
32221110220121210
42201020000200
541303103414
64105150120
71022005545
oct241100040
987426553
1042237984
112192a028
121218b340
13899b3b9
145876bcc
153a94e59
hex2848020

42237984 has 48 divisors (see below), whose sum is σ = 111428352. Its totient is φ = 14009088.

The previous prime is 42237977. The next prime is 42237989. The reversal of 42237984 is 48973224.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (42237989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20422 + ... + 22394.

It is an arithmetic number, because the mean of its divisors is an integer number (2321424).

Almost surely, 242237984 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 42237984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55714176).

42237984 is an abundant number, since it is smaller than the sum of its proper divisors (69190368).

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

42237984 is a wasteful number, since it uses less digits than its factorization.

42237984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2201 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 42237984 is about 6499.0756265795. The cubic root of 42237984 is about 348.2579670030.

The spelling of 42237984 in words is "forty-two million, two hundred thirty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 446 669 892 1338 1784 1973 2676 3568 3946 5352 5919 7136 7892 10704 11838 15784 21408 23676 31568 47352 63136 94704 189408 439979 879958 1319937 1759916 2639874 3519832 5279748 7039664 10559496 14079328 21118992 42237984