Search a number
-
+
2913728 = 2653859
BaseRepresentation
bin1011000111010111000000
312111000212212
423013113000
51221214403
6142241252
733523556
oct13072700
95430785
102913728
111710144
12b86228
137b02cc
1455bbd6
153c84d8
hex2c75c0

2913728 has 28 divisors (see below), whose sum is σ = 5897880. Its totient is φ = 1427712.

The previous prime is 2913727. The next prime is 2913733. The reversal of 2913728 is 8273192.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2913694 and 2913703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2913727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2963 + ... + 3821.

22913728 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 2913728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948940).

2913728 is an abundant number, since it is smaller than the sum of its proper divisors (2984152).

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

2913728 is an equidigital number, since it uses as much as digits as its factorization.

2913728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 914 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 2913728 is about 1706.9645573356. The cubic root of 2913728 is about 142.8289803532.

The spelling of 2913728 in words is "two million, nine hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 859 1696 1718 3392 3436 6872 13744 27488 45527 54976 91054 182108 364216 728432 1456864 2913728