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2472804 = 2232149461
BaseRepresentation
bin1001011011101101100100
311122122001100
421123231210
51113112204
6125000100
730006225
oct11335544
94578040
102472804
111439944
129b3030
136876c9
1448524c
1533ca39
hex25bb64

2472804 has 36 divisors (see below), whose sum is σ = 6306300. Its totient is φ = 816960.

The previous prime is 2472797. The next prime is 2472809. The reversal of 2472804 is 4082742.

It can be written as a sum of positive squares in 2 ways, for example, as 518400 + 1954404 = 720^2 + 1398^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×24728042 = 12229519244832, which contains 22 as substring.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2472809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5134 + ... + 5594.

It is an arithmetic number, because the mean of its divisors is an integer number (175175).

22472804 is an apocalyptic number.

It is an amenable number.

2472804 is an abundant number, since it is smaller than the sum of its proper divisors (3833496).

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

2472804 is a wasteful number, since it uses less digits than its factorization.

2472804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 615 counting only the distinct ones).

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

The square root of 2472804 is about 1572.5151827566. The cubic root of 2472804 is about 135.2269433832.

The spelling of 2472804 in words is "two million, four hundred seventy-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 461 596 894 922 1341 1383 1788 1844 2682 2766 4149 5364 5532 8298 16596 68689 137378 206067 274756 412134 618201 824268 1236402 2472804