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2874944 = 26291549
BaseRepresentation
bin1010111101111001000000
312102001200102
422331321000
51213444234
6141341532
733302522
oct12757100
95361612
102874944
111693a96
12b678a8
13798767
1454ba12
153bbc7e
hex2bde40

2874944 has 28 divisors (see below), whose sum is σ = 5905500. Its totient is φ = 1387008.

The previous prime is 2874941. The next prime is 2874979. The reversal of 2874944 is 4494782.

2874944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1236544 + 1638400 = 1112^2 + 1280^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2874898 and 2874907.

It is not an unprimeable number, because it can be changed into a prime (2874941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1082 + ... + 2630.

22874944 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 2874944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952750).

2874944 is an abundant number, since it is smaller than the sum of its proper divisors (3030556).

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

2874944 is a wasteful number, since it uses less digits than its factorization.

2874944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1580 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 2874944 is about 1695.5659822018. The cubic root of 2874944 is about 142.1924257602.

The spelling of 2874944 in words is "two million, eight hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1549 1856 3098 6196 12392 24784 44921 49568 89842 99136 179684 359368 718736 1437472 2874944