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42000244 = 221113101727
BaseRepresentation
bin1010000000110…
…1111101110100
32221000211111121
42200031331310
541223001434
64100113324
71016665456
oct240157564
987024447
1042000244
1121787450
1212095844
138917120
1458142d6
153a497b4
hex280df74

42000244 has 48 divisors (see below), whose sum is σ = 87325056. Its totient is φ = 17424000.

The previous prime is 42000199. The next prime is 42000247. The reversal of 42000244 is 44200024.

42000244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42000247) 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 15 ways as a sum of consecutive naturals, for example, 57409 + ... + 58135.

It is an arithmetic number, because the mean of its divisors is an integer number (1819272).

Almost surely, 242000244 is an apocalyptic number.

42000244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42000244 is an abundant number, since it is smaller than the sum of its proper divisors (45324812).

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

42000244 is a wasteful number, since it uses less digits than its factorization.

42000244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 42000244 is about 6480.7595233892. The cubic root of 42000244 is about 347.6033376227.

Adding to 42000244 its reverse (44200024), we get a palindrome (86200268).

The spelling of 42000244 in words is "forty-two million, two hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 11 13 22 26 44 52 101 143 202 286 404 572 727 1111 1313 1454 2222 2626 2908 4444 5252 7997 9451 14443 15994 18902 28886 31988 37804 57772 73427 103961 146854 207922 293708 415844 807697 954551 1615394 1909102 3230788 3818204 10500061 21000122 42000244