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2506644 = 22327429
BaseRepresentation
bin1001100011111110010100
311201100110200
421203332110
51120203034
6125420500
730210000
oct11437624
94640420
102506644
111462308
12a0a730
13699c2a
14493700
15347a99
hex263f94

2506644 has 90 divisors (see below), whose sum is σ = 7646730. Its totient is φ = 691488.

The previous prime is 2506643. The next prime is 2506649. The reversal of 2506644 is 4466052.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2160900 + 345744 = 1470^2 + 588^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506643) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 86422 + ... + 86450.

22506644 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 2506644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823365).

2506644 is an abundant number, since it is smaller than the sum of its proper divisors (5140086).

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

2506644 is a wasteful number, since it uses less digits than its factorization.

2506644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2506644 is about 1583.2384532975. The cubic root of 2506644 is about 135.8410050827.

The spelling of 2506644 in words is "two million, five hundred six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 343 348 406 441 522 588 609 686 812 882 1029 1044 1218 1372 1421 1764 1827 2058 2401 2436 2842 3087 3654 4116 4263 4802 5684 6174 7203 7308 8526 9604 9947 12348 12789 14406 17052 19894 21609 25578 28812 29841 39788 43218 51156 59682 69629 86436 89523 119364 139258 179046 208887 278516 358092 417774 626661 835548 1253322 2506644