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49914225 = 34521572
BaseRepresentation
bin1011111001101…
…0000101110001
310110220220110000
42332122011301
5100234223400
64541500213
71144156344
oct276320561
9113826400
1049914225
11261a2329
1214871669
13a45835a
1468b445b
1545ae600
hex2f9a171

49914225 has 45 divisors (see below), whose sum is σ = 93051057. Its totient is φ = 26451360.

The previous prime is 49914223. The next prime is 49914229. The reversal of 49914225 is 52241994.

The square root of 49914225 is 7065.

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

49914225 is a `hidden beast` number, since 499 + 142 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6036849 + 43877376 = 2457^2 + 6624^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 49914225 - 21 = 49914223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 49914225.

It is not an unprimeable number, because it can be changed into a prime (49914223) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 317847 + ... + 318003.

Almost surely, 249914225 is an apocalyptic number.

49914225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

49914225 is the 7065-th square number.

49914225 is the 3533-rd centered octagonal number.

It is an amenable number.

49914225 is a deficient number, since it is larger than the sum of its proper divisors (43136832).

49914225 is an equidigital number, since it uses as much as digits as its factorization.

49914225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 165 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The cubic root of 49914225 is about 368.1923640825.

Multiplying 49914225 by its sum of digits (36), we get a square (1796912100 = 423902).

It can be divided in two parts, 4991 and 4225, that added together give a square (9216 = 962).

The spelling of 49914225 in words is "forty-nine million, nine hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 157 225 405 471 675 785 1413 2025 2355 3925 4239 7065 11775 12717 21195 24649 35325 63585 73947 105975 123245 221841 317925 369735 616225 665523 1109205 1848675 1996569 3327615 5546025 9982845 16638075 49914225