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2414048 = 25713829
BaseRepresentation
bin1001001101010111100000
311112122110012
421031113200
51104222143
6123424052
726343020
oct11152740
94478405
102414048
1113a978a
12985028
13666a40
1446ba80
1532a418
hex24d5e0

2414048 has 48 divisors (see below), whose sum is σ = 5856480. Its totient is φ = 953856.

The previous prime is 2414021. The next prime is 2414053. The reversal of 2414048 is 8404142.

It is a congruent 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, 2498 + ... + 3326.

It is an arithmetic number, because the mean of its divisors is an integer number (122010).

22414048 is an apocalyptic number.

2414048 is a gapful number since it is divisible by the number (28) 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 2414048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928240).

2414048 is an abundant number, since it is smaller than the sum of its proper divisors (3442432).

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

2414048 is a wasteful number, since it uses less digits than its factorization.

2414048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 2414048 is about 1553.7206956207. The cubic root of 2414048 is about 134.1473095967.

The spelling of 2414048 in words is "two million, four hundred fourteen thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 829 1456 1658 2912 3316 5803 6632 10777 11606 13264 21554 23212 26528 43108 46424 75439 86216 92848 150878 172432 185696 301756 344864 603512 1207024 2414048