Search a number
-
+
424053135 = 325111814733
BaseRepresentation
bin11001010001101…
…000100110001111
31002112221010112200
4121101220212033
51332024200020
6110024532543
713336251342
oct3121504617
91075833480
10424053135
111a8404440
12ba021153
1369b1381c
1440466459
1527365590
hex1946898f

424053135 has 48 divisors (see below), whose sum is σ = 806446368. Its totient is φ = 204422400.

The previous prime is 424053103. The next prime is 424053137. The reversal of 424053135 is 531350424.

424053135 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 424053135 - 25 = 424053103 is a prime.

It is a super-2 number, since 2×4240531352 = 359642122606656450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 424053099 and 424053108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424053137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87229 + ... + 91961.

It is an arithmetic number, because the mean of its divisors is an integer number (16800966).

Almost surely, 2424053135 is an apocalyptic number.

424053135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

424053135 is a deficient number, since it is larger than the sum of its proper divisors (382393233).

424053135 is a wasteful number, since it uses less digits than its factorization.

424053135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4936 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 424053135 is about 20592.5504734115. The cubic root of 424053135 is about 751.2885316472.

It can be divided in two parts, 4240 and 53135, that added together give a palindrome (57375).

The spelling of 424053135 in words is "four hundred twenty-four million, fifty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 181 495 543 905 1629 1991 2715 4733 5973 8145 9955 14199 17919 23665 29865 42597 52063 70995 89595 156189 212985 260315 468567 780945 856673 2342835 2570019 4283365 7710057 9423403 12850095 28270209 38550285 47117015 84810627 141351045 424053135