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2639904 = 253107257
BaseRepresentation
bin1010000100100000100000
311222010021020
422010200200
51133434104
6132325440
731303341
oct12044040
94863236
102639904
111543443
12a73880
13715797
144ca0c8
153722d9
hex284820

2639904 has 48 divisors (see below), whose sum is σ = 7021728. Its totient is φ = 868352.

The previous prime is 2639891. The next prime is 2639911. The reversal of 2639904 is 4099362.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10144 + ... + 10400.

It is an arithmetic number, because the mean of its divisors is an integer number (146286).

22639904 is an apocalyptic number.

2639904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2639904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510864).

2639904 is an abundant number, since it is smaller than the sum of its proper divisors (4381824).

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

2639904 is a wasteful number, since it uses less digits than its factorization.

2639904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 2639904 is about 1624.7781387008. The cubic root of 2639904 is about 138.2067893258.

The spelling of 2639904 in words is "two million, six hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 257 321 428 514 642 771 856 1028 1284 1542 1712 2056 2568 3084 3424 4112 5136 6168 8224 10272 12336 24672 27499 54998 82497 109996 164994 219992 329988 439984 659976 879968 1319952 2639904