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424057872 = 24373074111
BaseRepresentation
bin11001010001101…
…001110000010000
31002112221101001010
4121101221300100
51332024322442
6110025010520
713336301220
oct3121516020
91075841033
10424057872
111a8407a57
12ba023a40
1369b15a24
1440468080
1527366b9c
hex19469c10

424057872 has 80 divisors (see below), whose sum is σ = 1256364032. Its totient is φ = 120735360.

The previous prime is 424057867. The next prime is 424057889. The reversal of 424057872 is 278750424.

It is a self number, because there is not a number n which added to its sum of digits gives 424057872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101097 + ... + 105207.

Almost surely, 2424057872 is an apocalyptic number.

424057872 is a gapful number since it is divisible by the number (42) 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 424057872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628182016).

424057872 is an abundant number, since it is smaller than the sum of its proper divisors (832306160).

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

424057872 is a wasteful number, since it uses less digits than its factorization.

424057872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436 (or 4430 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 424057872 is about 20592.6654904119. The cubic root of 424057872 is about 751.2913291272.

The spelling of 424057872 in words is "four hundred twenty-four million, fifty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 307 336 614 921 1228 1842 2149 2456 3684 4111 4298 4912 6447 7368 8222 8596 12333 12894 14736 16444 17192 24666 25788 28777 32888 34384 49332 51576 57554 65776 86331 98664 103152 115108 172662 197328 230216 345324 460432 690648 1262077 1381296 2524154 3786231 5048308 7572462 8834539 10096616 15144924 17669078 20193232 26503617 30289848 35338156 53007234 60579696 70676312 106014468 141352624 212028936 424057872