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49210225 = 52232612
BaseRepresentation
bin1011101110111…
…0001101110001
310102121010201221
42323232031301
5100044211400
64514425041
71135165021
oct273561561
9112533657
1049210225
1125861409
1214592181
13a26ca9c
14676da81
1544c0c1a
hex2eee371

49210225 has 27 divisors (see below), whose sum is σ = 64851969. Its totient is φ = 37039200.

The previous prime is 49210201. The next prime is 49210253. The reversal of 49210225 is 52201294.

The square root of 49210225 is 7015.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22667121 + 26543104 = 4761^2 + 5152^2 .

It is not a de Polignac number, because 49210225 - 213 = 49202033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 49210225.

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, 806695 + ... + 806755.

Almost surely, 249210225 is an apocalyptic number.

49210225 is the 7015-th square number.

49210225 is the 3508-th centered octagonal number.

It is an amenable number.

49210225 is a deficient number, since it is larger than the sum of its proper divisors (15641744).

49210225 is an equidigital number, since it uses as much as digits as its factorization.

49210225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The cubic root of 49210225 is about 366.4531424392.

Multiplying 49210225 by its sum of digits (25), we get a square (1230255625 = 350752).

49210225 divided by its sum of digits (25) gives a square (1968409 = 14032).

The spelling of 49210225 in words is "forty-nine million, two hundred ten thousand, two hundred twenty-five".

Divisors: 1 5 23 25 61 115 305 529 575 1403 1525 2645 3721 7015 13225 18605 32269 35075 85583 93025 161345 427915 806725 1968409 2139575 9842045 49210225