Search a number
-
+
424284672 = 293739461
BaseRepresentation
bin11001010010100…
…001001000000000
31002120100220011010
4121102201020000
51332104102142
6110033520520
713341234360
oct3122411000
91076326133
10424284672
111a8552399
12ba113140
1369b95026
14404c69a0
15273ade9c
hex194a1200

424284672 has 80 divisors (see below), whose sum is σ = 1291828032. Its totient is φ = 121221120.

The previous prime is 424284671. The next prime is 424284677. The reversal of 424284672 is 276482424.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 424284672.

It is not an unprimeable number, because it can be changed into a prime (424284671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8979 + ... + 30482.

Almost surely, 2424284672 is an apocalyptic number.

424284672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

424284672 is an abundant number, since it is smaller than the sum of its proper divisors (867543360).

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

424284672 is an equidigital number, since it uses as much as digits as its factorization.

424284672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39489 (or 39473 counting only the distinct ones).

The product of its digits is 172032, while the sum is 39.

The square root of 424284672 is about 20598.1715693408. The cubic root of 424284672 is about 751.4252436363.

The spelling of 424284672 in words is "four hundred twenty-four million, two hundred eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 39461 78922 118383 157844 236766 276227 315688 473532 552454 631376 828681 947064 1104908 1262752 1657362 1894128 2209816 2525504 3314724 3788256 4419632 5051008 6629448 7576512 8839264 10102016 13258896 15153024 17678528 20204032 26517792 30306048 35357056 53035584 60612096 70714112 106071168 141428224 212142336 424284672