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422673280 = 2752712437
BaseRepresentation
bin11001001100010…
…111101110000000
31002110100000201221
4121030113232000
51331201021110
6105535204424
713321443421
oct3114275600
91073300657
10422673280
111a7651767
12b9676714
136974c743
14401c7648
15271917da
hex19317b80

422673280 has 64 divisors (see below), whose sum is σ = 1014598080. Its totient is φ = 168376320.

The previous prime is 422673263. The next prime is 422673283. The reversal of 422673280 is 82376224.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422673283) 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 7 ways as a sum of consecutive naturals, for example, 172222 + ... + 174658.

It is an arithmetic number, because the mean of its divisors is an integer number (15853095).

Almost surely, 2422673280 is an apocalyptic number.

422673280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507299040).

422673280 is an abundant number, since it is smaller than the sum of its proper divisors (591924800).

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

422673280 is a wasteful number, since it uses less digits than its factorization.

422673280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 422673280 is about 20559.0194318698. The cubic root of 422673280 is about 750.4727567536.

The spelling of 422673280 in words is "four hundred twenty-two million, six hundred seventy-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 271 320 542 640 1084 1355 2168 2437 2710 4336 4874 5420 8672 9748 10840 12185 17344 19496 21680 24370 34688 38992 43360 48740 77984 86720 97480 155968 173440 194960 311936 389920 660427 779840 1320854 1559680 2641708 3302135 5283416 6604270 10566832 13208540 21133664 26417080 42267328 52834160 84534656 105668320 211336640 422673280