Search a number
-
+
422956764 = 2232291492719
BaseRepresentation
bin11001001101011…
…100111011011100
31002110212102121100
4121031130323130
51331234104024
6105545233100
713324034046
oct3115347334
91073772540
10422956764
111a782574a
12b9792790
136981b799
144025ca96
15271ea7c9
hex1935cedc

422956764 has 72 divisors (see below), whose sum is σ = 1113840000. Its totient is φ = 135160704.

The previous prime is 422956759. The next prime is 422956771. The reversal of 422956764 is 467659224.

422956764 is a `hidden beast` number, since 4 + 2 + 29 + 567 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154197 + ... + 156915.

It is an arithmetic number, because the mean of its divisors is an integer number (15470000).

Almost surely, 2422956764 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 422956764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556920000).

422956764 is an abundant number, since it is smaller than the sum of its proper divisors (690883236).

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

422956764 is a wasteful number, since it uses less digits than its factorization.

422956764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2902 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 422956764 is about 20565.9126712140. The cubic root of 422956764 is about 750.6404981937.

The spelling of 422956764 in words is "four hundred twenty-two million, nine hundred fifty-six thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 149 174 261 298 348 447 522 596 894 1044 1341 1788 2682 2719 4321 5364 5438 8157 8642 10876 12963 16314 17284 24471 25926 32628 38889 48942 51852 77778 78851 97884 155556 157702 236553 315404 405131 473106 709659 810262 946212 1215393 1419318 1620524 2430786 2838636 3646179 4861572 7292358 11748799 14584716 23497598 35246397 46995196 70492794 105739191 140985588 211478382 422956764