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27029601 = 3217332
BaseRepresentation
bin110011100011…
…1000001100001
31212212020122100
41213013001201
523404421401
62403201013
7445514334
oct147070141
955766570
1027029601
1114291815
129076169
1357a4c61
14383861b
15258db86
hex19c7061

27029601 has 9 divisors (see below), whose sum is σ = 39065299. Its totient is φ = 18009336.

The previous prime is 27029599. The next prime is 27029603. The reversal of 27029601 is 10692072.

The square root of 27029601 is 5199.

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

It is an interprime number because it is at equal distance from previous prime (27029599) and next prime (27029603).

It can be written as a sum of positive squares in only one way, i.e., 12006225 + 15023376 = 3465^2 + 3876^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 27029601 - 21 = 27029599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27029603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14731 + ... + 16463.

Almost surely, 227029601 is an apocalyptic number.

27029601 is the 5199-th square number.

27029601 is the 2600-th centered octagonal number.

It is an amenable number.

27029601 is a deficient number, since it is larger than the sum of its proper divisors (12035698).

27029601 is an frugal number, since it uses more digits than its factorization.

27029601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The cubic root of 27029601 is about 300.1095932928.

Adding to 27029601 its sum of digits (27), we get a triangular number (27029628 = T7352).

The spelling of 27029601 in words is "twenty-seven million, twenty-nine thousand, six hundred one".

Divisors: 1 3 9 1733 5199 15597 3003289 9009867 27029601