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2472084 = 223268669
BaseRepresentation
bin1001011011100010010100
311122121001200
421123202110
51113101314
6124552500
730004146
oct11334224
94577050
102472084
11143934a
129b2730
13687294
14484c96
1533c709
hex25b894

2472084 has 18 divisors (see below), whose sum is σ = 6248970. Its totient is φ = 824016.

The previous prime is 2472077. The next prime is 2472091. The reversal of 2472084 is 4802742.

It is an interprime number because it is at equal distance from previous prime (2472077) and next prime (2472091).

It can be written as a sum of positive squares in only one way, i.e., 2471184 + 900 = 1572^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×24720842 = 12222398606112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34299 + ... + 34370.

It is an arithmetic number, because the mean of its divisors is an integer number (347165).

22472084 is an apocalyptic number.

It is an amenable number.

2472084 is an abundant number, since it is smaller than the sum of its proper divisors (3776886).

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

2472084 is a wasteful number, since it uses less digits than its factorization.

2472084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68679 (or 68674 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2472084 is about 1572.2862334829. The cubic root of 2472084 is about 135.2138175484.

The spelling of 2472084 in words is "two million, four hundred seventy-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 68669 137338 206007 274676 412014 618021 824028 1236042 2472084