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2561364 = 2232132421
BaseRepresentation
bin1001110001010101010100
311211010112100
421301111110
51123430424
6130522100
730525351
oct11612524
94733470
102561364
11149a433
12a36330
136b8b00
144a9628
15358dc9
hex271554

2561364 has 54 divisors (see below), whose sum is σ = 7027566. Its totient is φ = 786240.

The previous prime is 2561341. The next prime is 2561387. The reversal of 2561364 is 4631652.

It is an interprime number because it is at equal distance from previous prime (2561341) and next prime (2561387).

It can be written as a sum of positive squares in 3 ways, for example, as 311364 + 2250000 = 558^2 + 1500^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5874 + ... + 6294.

22561364 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 2561364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513783).

2561364 is an abundant number, since it is smaller than the sum of its proper divisors (4466202).

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

2561364 is a wasteful number, since it uses less digits than its factorization.

2561364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 439 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2561364 is about 1600.4261932373. The cubic root of 2561364 is about 136.8223673286.

The spelling of 2561364 in words is "two million, five hundred sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 421 468 507 676 842 1014 1263 1521 1684 2028 2526 3042 3789 5052 5473 6084 7578 10946 15156 16419 21892 32838 49257 65676 71149 98514 142298 197028 213447 284596 426894 640341 853788 1280682 2561364