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422408790 = 233531109463
BaseRepresentation
bin11001001011010…
…111001001010110
31002102211120221000
4121023113021112
51331114040130
6105525404130
713316262336
oct3113271126
91072746830
10422408790
111a7490a81
12b9569646
136968923b
14401590c6
152713d260
hex192d7256

422408790 has 128 divisors (see below), whose sum is σ = 1175961600. Its totient is φ = 107775360.

The previous prime is 422408717. The next prime is 422408797. The reversal of 422408790 is 97804224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422408797) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 912099 + ... + 912561.

It is an arithmetic number, because the mean of its divisors is an integer number (9187200).

Almost surely, 2422408790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422408790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587980800).

422408790 is an abundant number, since it is smaller than the sum of its proper divisors (753552810).

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

422408790 is a wasteful number, since it uses less digits than its factorization.

422408790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 422408790 is about 20552.5859686804. The cubic root of 422408790 is about 750.3161866826.

The spelling of 422408790 in words is "four hundred twenty-two million, four hundred eight thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 109 135 155 186 218 270 279 310 327 463 465 545 558 654 837 926 930 981 1090 1389 1395 1635 1674 1962 2315 2778 2790 2943 3270 3379 4167 4185 4630 4905 5886 6758 6945 8334 8370 9810 10137 12501 13890 14353 14715 16895 20274 20835 25002 28706 29430 30411 33790 41670 43059 50467 50685 60822 62505 71765 86118 91233 100934 101370 125010 129177 143530 151401 152055 182466 215295 252335 258354 302802 304110 387531 430590 454203 456165 504670 645885 757005 775062 908406 912330 1291770 1362609 1514010 1564477 1937655 2271015 2725218 3128954 3875310 4542030 4693431 6813045 7822385 9386862 13626090 14080293 15644770 23467155 28160586 42240879 46934310 70401465 84481758 140802930 211204395 422408790