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6611424 = 253611129
BaseRepresentation
bin11001001110000111100000
3110102220011120
4121032013200
53143031144
6353412240
7110124201
oct31160740
913386146
106611424
113806296
12226a080
1314a63b1
14c415a8
158a8e19
hex64e1e0

6611424 has 48 divisors (see below), whose sum is σ = 17655120. Its totient is φ = 2165760.

The previous prime is 6611417. The next prime is 6611441. The reversal of 6611424 is 4241166.

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 = 6611394 and 6611403.

It is a congruent number.

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, 5292 + ... + 6420.

It is an arithmetic number, because the mean of its divisors is an integer number (367815).

Almost surely, 26611424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6611424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8827560).

6611424 is an abundant number, since it is smaller than the sum of its proper divisors (11043696).

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

6611424 is a wasteful number, since it uses less digits than its factorization.

6611424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1195 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 6611424 is about 2571.2689474265. The cubic root of 6611424 is about 187.6859098282.

The spelling of 6611424 in words is "six million, six hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1129 1464 1952 2258 2928 3387 4516 5856 6774 9032 13548 18064 27096 36128 54192 68869 108384 137738 206607 275476 413214 550952 826428 1101904 1652856 2203808 3305712 6611424