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48296655225 = 325274132232
BaseRepresentation
bin101100111110101101…
…000111100101111001
311121122212200021212100
4230332231013211321
51242402420431400
634104232534013
73326556540000
oct547655074571
9147585607770
1048296655225
11195342259a5
12943a551309
134728bc1c00
1424a2417c37
1513ca080100
hexb3eb47979

48296655225 has 405 divisors, whose sum is σ = 114233734797. Its totient is φ = 19494034560.

The previous prime is 48296655191. The next prime is 48296655287. The reversal of 48296655225 is 52255669284.

It is a happy number.

The square root of 48296655225 is 219765.

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

48296655225 is a `hidden beast` number, since 4 + 8 + 2 + 9 + 66 + 552 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12448534329 + 35848120896 = 111573^2 + 189336^2 .

It is not a de Polignac number, because 48296655225 - 219 = 48296130937 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 2099854564 + ... + 2099854586.

Almost surely, 248296655225 is an apocalyptic number.

48296655225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48296655225 is the 219765-th square number.

48296655225 is the 109883-rd centered octagonal number.

It is an amenable number.

48296655225 is an abundant number, since it is smaller than the sum of its proper divisors (65937079572).

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

48296655225 is a wasteful number, since it uses less digits than its factorization.

48296655225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 51 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 48296655225 in words is "forty-eight billion, two hundred ninety-six million, six hundred fifty-five thousand, two hundred twenty-five".