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3747276225 = 325272112532
BaseRepresentation
bin1101111101011010…
…1110010111000001
3100200011011100121100
43133112232113001
530133300314400
61415501045013
7161601215400
oct33726562701
910604140540
103747276225
111653270100
12886b56769
13479467314
14277969637
1516dea4100
hexdf5ae5c1

3747276225 has 243 divisors, whose sum is σ = 8746874409. Its totient is φ = 1527926400.

The previous prime is 3747276199. The next prime is 3747276257. The reversal of 3747276225 is 5226727473.

The square root of 3747276225 is 61215.

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

3747276225 is a `hidden beast` number, since 374 + 7 + 276 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28227969 + 3719048256 = 5313^2 + 60984^2 .

It is not a de Polignac number, because 3747276225 - 215 = 3747243457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 70703299 + ... + 70703351.

Almost surely, 23747276225 is an apocalyptic number.

3747276225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3747276225 is the 61215-th square number.

3747276225 is the 30608-th centered octagonal number.

It is an amenable number.

3747276225 is an abundant number, since it is smaller than the sum of its proper divisors (4999598184).

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

3747276225 is a wasteful number, since it uses less digits than its factorization.

3747276225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 79 counting only the distinct ones).

The product of its digits is 987840, while the sum is 45.

The cubic root of 3747276225 is about 1553.2400106592.

It can be divided in two parts, 3747 and 276225, that added together give a palindrome (279972).

The spelling of 3747276225 in words is "three billion, seven hundred forty-seven million, two hundred seventy-six thousand, two hundred twenty-five".