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42203010 = 2351783997
BaseRepresentation
bin1010000011111…
…1011110000010
32221102010122110
42200333132002
541300444020
64104320150
71021501563
oct240773602
987363573
1042203010
1121905823
1212173056
1389884c5
14586816a
153a898e0
hex283f782

42203010 has 64 divisors (see below), whose sum is σ = 108646272. Its totient is φ = 10454016.

The previous prime is 42203003. The next prime is 42203017. The reversal of 42203010 is 1030224.

42203010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42203003) and next prime (42203017).

It is not an unprimeable number, because it can be changed into a prime (42203017) 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 31 ways as a sum of consecutive naturals, for example, 41832 + ... + 42828.

It is an arithmetic number, because the mean of its divisors is an integer number (1697598).

Almost surely, 242203010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42203010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54323136).

42203010 is an abundant number, since it is smaller than the sum of its proper divisors (66443262).

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

42203010 is a wasteful number, since it uses less digits than its factorization.

42203010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 42203010 is about 6496.3843790219. The cubic root of 42203010 is about 348.1618186527.

Adding to 42203010 its reverse (1030224), we get a palindrome (43233234).

The spelling of 42203010 in words is "forty-two million, two hundred three thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 83 85 102 166 170 249 255 415 498 510 830 997 1245 1411 1994 2490 2822 2991 4233 4985 5982 7055 8466 9970 14110 14955 16949 21165 29910 33898 42330 50847 82751 84745 101694 165502 169490 248253 254235 413755 496506 508470 827510 1241265 1406767 2482530 2813534 4220301 7033835 8440602 14067670 21101505 42203010