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42246630 = 2335236803
BaseRepresentation
bin1010000100101…
…0000111100110
32221111100111000
42201022013212
541303343010
64105254130
71022043006
oct241120746
987440430
1042246630
1121935578
1212194346
1389a230a
14587a006
153a977c0
hex284a1e6

42246630 has 64 divisors (see below), whose sum is σ = 117573120. Its totient is φ = 10774368.

The previous prime is 42246623. The next prime is 42246641. The reversal of 42246630 is 3664224.

42246630 is a `hidden beast` number, since 4 + 2 + 24 + 6 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 42246594 and 42246603.

It is a congruent number.

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, 2809 + ... + 9611.

It is an arithmetic number, because the mean of its divisors is an integer number (1837080).

Almost surely, 242246630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42246630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58786560).

42246630 is an abundant number, since it is smaller than the sum of its proper divisors (75326490).

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

42246630 is a wasteful number, since it uses less digits than its factorization.

42246630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6842 (or 6836 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 42246630 is about 6499.7407640613. The cubic root of 42246630 is about 348.2817278668.

The spelling of 42246630 in words is "forty-two million, two hundred forty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 6210 6803 13606 20409 34015 40818 61227 68030 102045 122454 156469 183681 204090 306135 312938 367362 469407 612270 782345 918405 938814 1408221 1564690 1836810 2347035 2816442 4224663 4694070 7041105 8449326 14082210 21123315 42246630