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2478048 = 25383311
BaseRepresentation
bin1001011100111111100000
311122220020120
421130333200
51113244143
6125040240
730030426
oct11347740
94586216
102478048
111442881
129b6080
13689c01
14487116
1533e383
hex25cfe0

2478048 has 48 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 813440.

The previous prime is 2478041. The next prime is 2478067. The reversal of 2478048 is 8408742.

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

It is a super-2 number, since 2×24780482 = 12281443780608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2478041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7813 + ... + 8123.

It is an arithmetic number, because the mean of its divisors is an integer number (137592).

22478048 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 2478048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

2478048 is an abundant number, since it is smaller than the sum of its proper divisors (4126368).

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

2478048 is a wasteful number, since it uses less digits than its factorization.

2478048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2478048 is about 1574.1816921817. The cubic root of 2478048 is about 135.3224664418.

The spelling of 2478048 in words is "two million, four hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 311 332 498 622 664 933 996 1244 1328 1866 1992 2488 2656 3732 3984 4976 7464 7968 9952 14928 25813 29856 51626 77439 103252 154878 206504 309756 413008 619512 826016 1239024 2478048