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424243040 = 25513593457
BaseRepresentation
bin11001010010010…
…110111101100000
31002120021210001012
4121102112331200
51332101234130
6110033000052
713341002114
oct3122267540
91076253035
10424243040
111a8524091
12ba0b3028
1369b7c0b0
14404b5744
15273a1995
hex19496f60

424243040 has 96 divisors (see below), whose sum is σ = 1097984160. Its totient is φ = 153944064.

The previous prime is 424243037. The next prime is 424243063. The reversal of 424243040 is 40342424.

It is a junction number, because it is equal to n+sod(n) for n = 424242997 and 424243015.

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, 120992 + ... + 124448.

It is an arithmetic number, because the mean of its divisors is an integer number (11437335).

Almost surely, 2424243040 is an apocalyptic number.

424243040 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 424243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548992080).

424243040 is an abundant number, since it is smaller than the sum of its proper divisors (673741120).

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

424243040 is a wasteful number, since it uses less digits than its factorization.

424243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3544 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 424243040 is about 20597.1609694152. The cubic root of 424243040 is about 751.4006655161.

Adding to 424243040 its reverse (40342424), we get a palindrome (464585464).

The spelling of 424243040 in words is "four hundred twenty-four million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 59 65 80 104 118 130 160 208 236 260 295 416 472 520 590 767 944 1040 1180 1534 1888 2080 2360 3068 3457 3835 4720 6136 6914 7670 9440 12272 13828 15340 17285 24544 27656 30680 34570 44941 55312 61360 69140 89882 110624 122720 138280 179764 203963 224705 276560 359528 407926 449410 553120 719056 815852 898820 1019815 1438112 1631704 1797640 2039630 2651519 3263408 3595280 4079260 5303038 6526816 7190560 8158520 10606076 13257595 16317040 21212152 26515190 32634080 42424304 53030380 84848608 106060760 212121520 424243040