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8244640 = 2552272
BaseRepresentation
bin11111011100110110100000
3120111212112001
4133130312200
54102312030
6452413344
7130035565
oct37346640
916455461
108244640
114721358
122917254
1319288b1
14114886c
15acccca
hex7dcda0

8244640 has 36 divisors (see below), whose sum is σ = 19564146. Its totient is φ = 3283328.

The previous prime is 8244631. The next prime is 8244659. The reversal of 8244640 is 464428.

8244640 is nontrivially palindromic in base 9 and base 15.

It can be written as a sum of positive squares in only one way, i.e., 7420176 + 824464 = 2724^2 + 908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8244599 and 8244608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36207 + ... + 36433.

Almost surely, 28244640 is an apocalyptic number.

8244640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8244640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9782073).

8244640 is an abundant number, since it is smaller than the sum of its proper divisors (11319506).

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

8244640 is an equidigital number, since it uses as much as digits as its factorization.

8244640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 8244640 is about 2871.3481154329. The cubic root of 8244640 is about 202.0182318609.

The spelling of 8244640 in words is "eight million, two hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 227 454 908 1135 1816 2270 3632 4540 7264 9080 18160 36320 51529 103058 206116 257645 412232 515290 824464 1030580 1648928 2061160 4122320 8244640