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147015625 = 56972
BaseRepresentation
bin10001100001101…
…00011111001001
3101020122011112011
420300310133021
5300114000000
622331015521
73433416661
oct1060643711
9336564464
10147015625
1175a94019
124129a5a1
13245c56c3
141574d1a1
15cd902ba
hex8c347c9

147015625 has 21 divisors (see below), whose sum is σ = 185681217. Its totient is φ = 116400000.

The previous prime is 147015623. The next prime is 147015637. The reversal of 147015625 is 526510741.

The square root of 147015625 is 12125.

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

It can be written as a sum of positive squares in 10 ways, for example, as 116057529 + 30958096 = 10773^2 + 5564^2 .

It is not a de Polignac number, because 147015625 - 21 = 147015623 is a prime.

It is a super-2 number, since 2×1470156252 = 43227187988281250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (147015623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1515577 + ... + 1515673.

Almost surely, 2147015625 is an apocalyptic number.

147015625 is the 12125-th square number.

147015625 is the 6063-rd centered octagonal number.

It is an amenable number.

147015625 is a deficient number, since it is larger than the sum of its proper divisors (38665592).

147015625 is an frugal number, since it uses more digits than its factorization.

147015625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The cubic root of 147015625 is about 527.7819072212.

The spelling of 147015625 in words is "one hundred forty-seven million, fifteen thousand, six hundred twenty-five".

Divisors: 1 5 25 97 125 485 625 2425 3125 9409 12125 15625 47045 60625 235225 303125 1176125 1515625 5880625 29403125 147015625