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42207246 = 23219167739
BaseRepresentation
bin1010000100000…
…0100000001110
32221102100110100
42201000200032
541301112441
64104351530
71021520124
oct241004016
987370410
1042207246
1121908a24
12121755a6
13898a403
145869914
153a8acb6
hex284080e

42207246 has 48 divisors (see below), whose sum is σ = 96969600. Its totient is φ = 13230864.

The previous prime is 42207223. The next prime is 42207247. The reversal of 42207246 is 64270224.

It is a happy number.

It is a super-2 number, since 2×422072462 = 3562903229809032, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42207247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56745 + ... + 57483.

It is an arithmetic number, because the mean of its divisors is an integer number (2020200).

Almost surely, 242207246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42207246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48484800).

42207246 is an abundant number, since it is smaller than the sum of its proper divisors (54762354).

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

42207246 is a wasteful number, since it uses less digits than its factorization.

42207246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 42207246 is about 6496.7103983478. The cubic root of 42207246 is about 348.1734668275.

The spelling of 42207246 in words is "forty-two million, two hundred seven thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 167 171 334 342 501 739 1002 1478 1503 2217 3006 3173 4434 6346 6651 9519 13302 14041 19038 28082 28557 42123 57114 84246 123413 126369 246826 252738 370239 740478 1110717 2221434 2344847 4689694 7034541 14069082 21103623 42207246