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2561124 = 2231947239
BaseRepresentation
bin1001110001010001100100
311211010012110
421301101210
51123423444
6130521020
730524556
oct11612144
94733173
102561124
11149a235
12a36170
136b8977
144a94d6
15358cb9
hex271464

2561124 has 48 divisors (see below), whose sum is σ = 6451200. Its totient is φ = 788256.

The previous prime is 2561099. The next prime is 2561129. The reversal of 2561124 is 4211652.

It is a super-3 number, since 3×25611243 = 50397973330043143872, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2561124.

It is not an unprimeable number, because it can be changed into a prime (2561129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10597 + ... + 10835.

It is an arithmetic number, because the mean of its divisors is an integer number (134400).

22561124 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 2561124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225600).

2561124 is an abundant number, since it is smaller than the sum of its proper divisors (3890076).

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

2561124 is a wasteful number, since it uses less digits than its factorization.

2561124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 310 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 2561124 is about 1600.3512114533. The cubic root of 2561124 is about 136.8180937731.

Adding to 2561124 its reverse (4211652), we get a palindrome (6772776).

The spelling of 2561124 in words is "two million, five hundred sixty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 94 114 141 188 228 239 282 478 564 717 893 956 1434 1786 2679 2868 3572 4541 5358 9082 10716 11233 13623 18164 22466 27246 33699 44932 54492 67398 134796 213427 426854 640281 853708 1280562 2561124