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3743604225 = 325240792
BaseRepresentation
bin1101111100100010…
…1101111000000001
3100122220020210120100
43133020231320001
530131330313400
61415250233013
7161525053014
oct33710557001
910586223510
103743604225
111651192299
12885885769
1347877cb3a
1427729137b
1516d9cb100
hexdf22de01

3743604225 has 27 divisors (see below), whose sum is σ = 6706855363. Its totient is φ = 1996099440.

The previous prime is 3743604217. The next prime is 3743604259. The reversal of 3743604225 is 5224063473.

The square root of 3743604225 is 61185.

It is a perfect power (a square), and thus also a powerful number.

3743604225 is a `hidden beast` number, since 3 + 7 + 43 + 604 + 2 + 2 + 5 = 666.

3743604225 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 only one way, i.e., 1347697521 + 2395906704 = 36711^2 + 48948^2 .

It is not a de Polignac number, because 3743604225 - 23 = 3743604217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3743604225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 915736 + ... + 919814.

Almost surely, 23743604225 is an apocalyptic number.

3743604225 is the 61185-th square number.

3743604225 is the 30593-rd centered octagonal number.

It is an amenable number.

3743604225 is a deficient number, since it is larger than the sum of its proper divisors (2963251138).

3743604225 is an frugal number, since it uses more digits than its factorization.

3743604225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8174 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The cubic root of 3743604225 is about 1552.7324988056.

Multiplying 3743604225 by its sum of digits (36), we get a square (134769752100 = 3671102).

Adding to 3743604225 its reverse (5224063473), we get a palindrome (8967667698).

The spelling of 3743604225 in words is "three billion, seven hundred forty-three million, six hundred four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 4079 12237 20395 36711 61185 101975 183555 305925 917775 16638241 49914723 83191205 149744169 249573615 415956025 748720845 1247868075 3743604225