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2563484 = 2272112941
BaseRepresentation
bin1001110001110110011100
311211020102212
421301312130
51124012414
6130535552
730534500
oct11616634
94736385
102563484
1114a0a90
12a375b8
136b9a71
144aa300
1535983e
hex271d9c

2563484 has 72 divisors (see below), whose sum is σ = 6032880. Its totient is φ = 940800.

The previous prime is 2563453. The next prime is 2563489. The reversal of 2563484 is 4843652.

Its product of digits (23040) is a multiple of the sum of its prime divisors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 2563484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62504 + ... + 62544.

It is an arithmetic number, because the mean of its divisors is an integer number (83790).

22563484 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 2563484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016440).

2563484 is an abundant number, since it is smaller than the sum of its proper divisors (3469396).

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

2563484 is a wasteful number, since it uses less digits than its factorization.

2563484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 90 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 2563484 is about 1601.0883798217. The cubic root of 2563484 is about 136.8601054802.

The spelling of 2563484 in words is "two million, five hundred sixty-three thousand, four hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 29 41 44 49 58 77 82 98 116 154 164 196 203 287 308 319 406 451 539 574 638 812 902 1078 1148 1189 1276 1421 1804 2009 2156 2233 2378 2842 3157 4018 4466 4756 5684 6314 8036 8323 8932 12628 13079 15631 16646 22099 26158 31262 33292 44198 52316 58261 62524 88396 91553 116522 183106 233044 366212 640871 1281742 2563484