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2521664 = 2631241
BaseRepresentation
bin1001100111101001000000
311202010001222
421213221000
51121143124
6130014212
730301535
oct11475100
94663058
102521664
111472622
12a17368
136a3a12
14498d8c
1534c25e
hex267a40

2521664 has 42 divisors (see below), whose sum is σ = 5296662. Its totient is φ = 1190400.

The previous prime is 2521643. The next prime is 2521681. The reversal of 2521664 is 4661252.

It can be written as a sum of positive squares in only one way, i.e., 1537600 + 984064 = 1240^2 + 992^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61484 + ... + 61524.

It is an arithmetic number, because the mean of its divisors is an integer number (126111).

22521664 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 2521664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648331).

2521664 is an abundant number, since it is smaller than the sum of its proper divisors (2774998).

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

2521664 is an equidigital number, since it uses as much as digits as its factorization.

2521664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 74 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 2521664 is about 1587.9748108833. The cubic root of 2521664 is about 136.1117881343. Note that the first 3 decimals are identical.

The spelling of 2521664 in words is "two million, five hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 164 248 328 496 656 961 992 1271 1312 1922 1984 2542 2624 3844 5084 7688 10168 15376 20336 30752 39401 40672 61504 78802 81344 157604 315208 630416 1260832 2521664