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424424440 = 23511287691
BaseRepresentation
bin11001010011000…
…011001111111000
31002120121222212201
4121103003033320
51332123040230
6110040515544
713342356016
oct3123031770
91076558781
10424424440
111a8638400
12ba17bbb4
1369c1382b
14405218b6
15273da5ca
hex194c33f8

424424440 has 48 divisors (see below), whose sum is σ = 1049673240. Its totient is φ = 154334400.

The previous prime is 424424389. The next prime is 424424443. The reversal of 424424440 is 44424424.

It is a super-2 number, since 2×4244244402 = 360272210538627200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 424424399 and 424424408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424424443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39006 + ... + 48685.

Almost surely, 2424424440 is an apocalyptic number.

424424440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424424440 is an abundant number, since it is smaller than the sum of its proper divisors (625248800).

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

424424440 is a wasteful number, since it uses less digits than its factorization.

424424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87724 (or 87709 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 424424440 is about 20601.5640182973. The cubic root of 424424440 is about 751.5077461635.

Adding to 424424440 its reverse (44424424), we get a palindrome (468848864).

The spelling of 424424440 in words is "four hundred twenty-four million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 87691 175382 350764 438455 701528 876910 964601 1753820 1929202 3507640 3858404 4823005 7716808 9646010 10610611 19292020 21221222 38584040 42442444 53053055 84884888 106106110 212212220 424424440