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424268790 = 235113167619
BaseRepresentation
bin11001010010011…
…101001111110110
31002120100002100220
4121102131033312
51332103100130
6110033315210
713341140151
oct3122351766
91076302326
10424268790
111a8541470
12ba105b06
1369b8aa2a
14404c0c98
15273a9410
hex1949d3f6

424268790 has 128 divisors (see below), whose sum is σ = 1165639680. Its totient is φ = 97891200.

The previous prime is 424268749. The next prime is 424268791. The reversal of 424268790 is 97862424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424268791) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 685101 + ... + 685719.

It is an arithmetic number, because the mean of its divisors is an integer number (9106560).

Almost surely, 2424268790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424268790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582819840).

424268790 is an abundant number, since it is smaller than the sum of its proper divisors (741370890).

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

424268790 is a wasteful number, since it uses less digits than its factorization.

424268790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738.

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 424268790 is about 20597.7860460779. The cubic root of 424268790 is about 751.4158676320.

The spelling of 424268790 in words is "four hundred twenty-four million, two hundred sixty-eight thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 67 93 110 134 155 165 186 201 310 330 335 341 402 465 619 670 682 737 930 1005 1023 1238 1474 1705 1857 2010 2046 2077 2211 3095 3410 3685 3714 4154 4422 5115 6190 6231 6809 7370 9285 10230 10385 11055 12462 13618 18570 19189 20427 20770 22110 22847 31155 34045 38378 40854 41473 45694 57567 62310 68090 68541 82946 95945 102135 114235 115134 124419 137082 191890 204270 207365 211079 228470 248838 287835 342705 414730 422158 456203 575670 622095 633237 685410 912406 1055395 1244190 1266474 1285663 1368609 2110790 2281015 2571326 2737218 3166185 3856989 4562030 6332370 6428315 6843045 7713978 12856630 13686090 14142293 19284945 28284586 38569890 42426879 70711465 84853758 141422930 212134395 424268790