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42242000 = 245321121
BaseRepresentation
bin1010000100100…
…0111111010000
32221111010010112
42201020333100
541303221000
64105220452
71022023343
oct241107720
987433115
1042242000
1121932049
1212191728
1389a0188
14587845a
153a96235
hex2848fd0

42242000 has 40 divisors (see below), whose sum is σ = 102145992. Its totient is φ = 16896000.

The previous prime is 42241987. The next prime is 42242017. The reversal of 42242000 is 24224.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 355216 + 41886784 = 596^2 + 6472^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8561 + ... + 12560.

Almost surely, 242242000 is an apocalyptic number.

42242000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42242000 is an abundant number, since it is smaller than the sum of its proper divisors (59903992).

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

42242000 is a wasteful number, since it uses less digits than its factorization.

42242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21144 (or 21128 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 42242000 is about 6499.3845862512. The cubic root of 42242000 is about 348.2690041433.

Adding to 42242000 its reverse (24224), we get a palindrome (42266224).

The spelling of 42242000 in words is "forty-two million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 21121 42242 84484 105605 168968 211210 337936 422420 528025 844840 1056050 1689680 2112100 2640125 4224200 5280250 8448400 10560500 21121000 42242000