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2890624 = 27112053
BaseRepresentation
bin1011000001101110000000
312102212012011
423001232000
51214444444
6141542304
733366322
oct13015600
95385164
102890624
1116a4850
12b74994
137a2939
14553612
153c1734
hex2c1b80

2890624 has 32 divisors (see below), whose sum is σ = 6285240. Its totient is φ = 1313280.

The previous prime is 2890619. The next prime is 2890627. The reversal of 2890624 is 4260982.

It is a tau number, because it is divible by the number of its divisors (32).

It is a trimorphic number since its cube, 24153207507332890624, ends in 2890624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 382 + ... + 2434.

22890624 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 2890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142620).

2890624 is an abundant number, since it is smaller than the sum of its proper divisors (3394616).

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

2890624 is a wasteful number, since it uses less digits than its factorization.

2890624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2890624 is about 1700.1835195061. The cubic root of 2890624 is about 142.4504639559.

The spelling of 2890624 in words is "two million, eight hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 2053 4106 8212 16424 22583 32848 45166 65696 90332 131392 180664 262784 361328 722656 1445312 2890624