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2478864 = 243431201
BaseRepresentation
bin1001011101001100010000
311122221100210
421131030100
51113310424
6125044120
730033003
oct11351420
94587323
102478864
111443453
129b6640
1368a3ab
1448753a
1533e729
hex25d310

2478864 has 40 divisors (see below), whose sum is σ = 6558112. Its totient is φ = 806400.

The previous prime is 2478809. The next prime is 2478877. The reversal of 2478864 is 4688742.

2478864 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×24788642 = 12289533460992, which contains 22 as substring.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1464 + ... + 2664.

22478864 is an apocalyptic number.

2478864 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 2478864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279056).

2478864 is an abundant number, since it is smaller than the sum of its proper divisors (4079248).

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

2478864 is a wasteful number, since it uses less digits than its factorization.

2478864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1249 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 2478864 is about 1574.4408531285. The cubic root of 2478864 is about 135.3373183217.

The spelling of 2478864 in words is "two million, four hundred seventy-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 1201 2064 2402 3603 4804 7206 9608 14412 19216 28824 51643 57648 103286 154929 206572 309858 413144 619716 826288 1239432 2478864