Search a number
-
+
8411424 = 253712517
BaseRepresentation
bin100000000101…
…100100100000
3120211100022020
4200011210200
54123131144
6500141440
7131332050
oct40054440
916740266
108411424
11482569a
122997880
131986798
14118d560
15b12419
hex805920

8411424 has 48 divisors (see below), whose sum is σ = 25236288. Its totient is φ = 2403072.

The previous prime is 8411419. The next prime is 8411443. The reversal of 8411424 is 4241148.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 8411394 and 8411403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5587 + ... + 6930.

It is an arithmetic number, because the mean of its divisors is an integer number (525756).

Almost surely, 28411424 is an apocalyptic number.

8411424 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8411424 is an abundant number, since it is smaller than the sum of its proper divisors (16824864).

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

8411424 is a wasteful number, since it uses less digits than its factorization.

8411424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12537 (or 12529 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 8411424 is about 2900.2455068494. The cubic root of 8411424 is about 203.3713828880.

The spelling of 8411424 in words is "eight million, four hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 12517 25034 37551 50068 75102 87619 100136 150204 175238 200272 262857 300408 350476 400544 525714 600816 700952 1051428 1201632 1401904 2102856 2803808 4205712 8411424