Search a number
-
+
424284096 = 26317433023
BaseRepresentation
bin11001010010100…
…000111111000000
31002120100212100210
4121102200333000
51332104042341
6110033514120
713341232605
oct3122407700
91076325323
10424284096
111a8551a15
12ba112940
1369b949a2
14404c66ac
15273adc16
hex194a0fc0

424284096 has 112 divisors (see below), whose sum is σ = 1216664064. Its totient is φ = 129970176.

The previous prime is 424284083. The next prime is 424284109. The reversal of 424284096 is 690482424.

It is an interprime number because it is at equal distance from previous prime (424284083) and next prime (424284109).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138841 + ... + 141863.

It is an arithmetic number, because the mean of its divisors is an integer number (10863072).

Almost surely, 2424284096 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 424284096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608332032).

424284096 is an abundant number, since it is smaller than the sum of its proper divisors (792379968).

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

424284096 is a wasteful number, since it uses less digits than its factorization.

424284096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 424284096 is about 20598.1575875125. The cubic root of 424284096 is about 751.4249035964.

The spelling of 424284096 in words is "four hundred twenty-four million, two hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 64 68 86 96 102 129 136 172 192 204 258 272 344 408 516 544 688 731 816 1032 1088 1376 1462 1632 2064 2193 2752 2924 3023 3264 4128 4386 5848 6046 8256 8772 9069 11696 12092 17544 18138 23392 24184 35088 36276 46784 48368 51391 70176 72552 96736 102782 129989 140352 145104 154173 193472 205564 259978 290208 308346 389967 411128 519956 580416 616692 779934 822256 1039912 1233384 1559868 1644512 2079824 2209813 2466768 3119736 3289024 4159648 4419626 4933536 6239472 6629439 8319296 8839252 9867072 12478944 13258878 17678504 24957888 26517756 35357008 53035512 70714016 106071024 141428032 212142048 424284096