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420568248 = 233231913989
BaseRepresentation
bin11001000100010…
…101110010111000
31002022101002011210
4121010111302320
51330131140443
6105422123120
713264525332
oct3104256270
91068332153
10420568248
111a6444171
12b8a204a0
1369193569
143dbda452
1526dc7c33
hex19115cb8

420568248 has 64 divisors (see below), whose sum is σ = 1103155200. Its totient is φ = 133358720.

The previous prime is 420568243. The next prime is 420568273. The reversal of 420568248 is 842865024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420568241) 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 15 ways as a sum of consecutive naturals, for example, 103438 + ... + 107426.

It is an arithmetic number, because the mean of its divisors is an integer number (17236800).

Almost surely, 2420568248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420568248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551577600).

420568248 is an abundant number, since it is smaller than the sum of its proper divisors (682586952).

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

420568248 is a wasteful number, since it uses less digits than its factorization.

420568248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 420568248 is about 20507.7606773631. The cubic root of 420568248 is about 749.2248275307.

The spelling of 420568248 in words is "four hundred twenty million, five hundred sixty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 191 276 382 552 573 764 1146 1528 2292 3989 4393 4584 7978 8786 11967 13179 15956 17572 23934 26358 31912 35144 47868 52716 91747 95736 105432 183494 275241 366988 550482 733976 761899 1100964 1523798 2201928 2285697 3047596 4571394 6095192 9142788 17523677 18285576 35047354 52571031 70094708 105142062 140189416 210284124 420568248