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42016240 = 245775029
BaseRepresentation
bin1010000001000…
…1110111110000
32221001122110001
42200101313300
541224004430
64100315344
71020063220
oct240216760
987048401
1042016240
1121798472
12120a2b54
1389214a6
14581a080
153a4e3ca
hex2811df0

42016240 has 40 divisors (see below), whose sum is σ = 111644640. Its totient is φ = 14405376.

The previous prime is 42016237. The next prime is 42016241. The reversal of 42016240 is 4261024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42016241) by changing a digit.

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, 36955 + ... + 38074.

It is an arithmetic number, because the mean of its divisors is an integer number (2791116).

Almost surely, 242016240 is an apocalyptic number.

42016240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42016240 is an abundant number, since it is smaller than the sum of its proper divisors (69628400).

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

42016240 is a wasteful number, since it uses less digits than its factorization.

42016240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75049 (or 75043 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 42016240 is about 6481.9935205151. The cubic root of 42016240 is about 347.6474608366.

Adding to 42016240 its reverse (4261024), we get a palindrome (46277264).

The spelling of 42016240 in words is "forty-two million, sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 75029 150058 300116 375145 525203 600232 750290 1050406 1200464 1500580 2100812 2626015 3001160 4201624 5252030 6002320 8403248 10504060 21008120 42016240