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424052320 = 2555215087
BaseRepresentation
bin11001010001101…
…000011001100000
31002112221002102111
4121101220121200
51332024133240
6110024525104
713336246066
oct3121503140
91075832374
10424052320
111a840386a
12ba020794
1369b13343
1440466036
15273651ea
hex19468660

424052320 has 48 divisors (see below), whose sum is σ = 1003943808. Its totient is φ = 169262080.

The previous prime is 424052309. The next prime is 424052333. The reversal of 424052320 is 23250424.

It is a junction number, because it is equal to n+sod(n) for n = 424052291 and 424052300.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 80817 + ... + 85903.

It is an arithmetic number, because the mean of its divisors is an integer number (20915496).

Almost surely, 2424052320 is an apocalyptic number.

424052320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424052320 is an abundant number, since it is smaller than the sum of its proper divisors (579891488).

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

424052320 is a wasteful number, since it uses less digits than its factorization.

424052320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5623 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 424052320 is about 20592.5306846924. The cubic root of 424052320 is about 751.2880503391.

The spelling of 424052320 in words is "four hundred twenty-four million, fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 521 1042 2084 2605 4168 5087 5210 8336 10174 10420 16672 20348 20840 25435 40696 41680 50870 81392 83360 101740 162784 203480 406960 813920 2650327 5300654 10601308 13251635 21202616 26503270 42405232 53006540 84810464 106013080 212026160 424052320