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42441820 = 22519671667
BaseRepresentation
bin1010000111100…
…1110001011100
32221212021020021
42201321301130
541331114240
64113401524
71023515041
oct241716134
987767207
1042441820
1121a59193
12122692a4
138a40105
1458cb1c8
153ad554a
hex2879c5c

42441820 has 48 divisors (see below), whose sum is σ = 95276160. Its totient is φ = 15833664.

The previous prime is 42441803. The next prime is 42441823. The reversal of 42441820 is 2814424.

42441820 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 (42441823) 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, 24627 + ... + 26293.

It is an arithmetic number, because the mean of its divisors is an integer number (1984920).

Almost surely, 242441820 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 42441820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47638080).

42441820 is an abundant number, since it is smaller than the sum of its proper divisors (52834340).

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

42441820 is a wasteful number, since it uses less digits than its factorization.

42441820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 42441820 is about 6514.7386747283. The cubic root of 42441820 is about 348.8172868119.

The spelling of 42441820 in words is "forty-two million, four hundred forty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 67 76 95 134 190 268 335 380 670 1273 1340 1667 2546 3334 5092 6365 6668 8335 12730 16670 25460 31673 33340 63346 111689 126692 158365 223378 316730 446756 558445 633460 1116890 2122091 2233780 4244182 8488364 10610455 21220910 42441820