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42080202 = 23317231993
BaseRepresentation
bin1010000010000…
…1011111001010
32221011220012000
42200201133022
541233031302
64101531430
71020450543
oct240413712
987156160
1042080202
112183152a
1212113b76
138944638
1458354ca
153a6331c
hex28217ca

42080202 has 64 divisors (see below), whose sum is σ = 103368960. Its totient is φ = 12621312.

The previous prime is 42080197. The next prime is 42080257. The reversal of 42080202 is 20208024.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 20118 + ... + 22110.

It is an arithmetic number, because the mean of its divisors is an integer number (1615140).

Almost surely, 242080202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42080202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51684480).

42080202 is an abundant number, since it is smaller than the sum of its proper divisors (61288758).

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

42080202 is a wasteful number, since it uses less digits than its factorization.

42080202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42080202 is about 6486.9254658891. The cubic root of 42080202 is about 347.8237811745.

Adding to 42080202 its reverse (20208024), we get a palindrome (62288226).

The spelling of 42080202 in words is "forty-two million, eighty thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 102 138 153 207 306 391 414 459 621 782 918 1173 1242 1993 2346 3519 3986 5979 7038 10557 11958 17937 21114 33881 35874 45839 53811 67762 91678 101643 107622 137517 203286 275034 304929 412551 609858 779263 825102 914787 1237653 1558526 1829574 2337789 2475306 4675578 7013367 14026734 21040101 42080202