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42262059 = 37367613
BaseRepresentation
bin1010000100110…
…1111000101011
32221112010122110
42201031320223
541304341214
64105453403
71022136000
oct241157053
987463573
1042262059
1121946124
12121a1263
1389a9348
1458818a7
153a9c159
hex284de2b

42262059 has 32 divisors (see below), whose sum is σ = 66803200. Its totient is φ = 23750496.

The previous prime is 42262049. The next prime is 42262069. The reversal of 42262059 is 95026224.

42262059 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 (42262049) and next prime (42262069).

It is not a de Polignac number, because 42262059 - 24 = 42262043 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42262009) 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, 68637 + ... + 69249.

It is an arithmetic number, because the mean of its divisors is an integer number (2087600).

Almost surely, 242262059 is an apocalyptic number.

42262059 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

42262059 is a deficient number, since it is larger than the sum of its proper divisors (24541141).

42262059 is an equidigital number, since it uses as much as digits as its factorization.

42262059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 42262059 is about 6500.9275492040. The cubic root of 42262059 is about 348.3241216604.

It can be divided in two parts, 422 and 62059, that added together give a triangular number (62481 = T353).

The spelling of 42262059 in words is "forty-two million, two hundred sixty-two thousand, fifty-nine".

Divisors: 1 3 7 21 49 67 147 201 343 469 613 1029 1407 1839 3283 4291 9849 12873 22981 30037 41071 68943 90111 123213 210259 287497 630777 862491 2012479 6037437 14087353 42262059