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742181049 = 3610092
BaseRepresentation
bin101100001111001…
…100100010111001
31220201112201000000
4230033030202321
53004444243144
6201351303213
724251302101
oct5417144271
91821481000
10742181049
11350a3a675
1218867ab09
13ba9ba8ac
14707d8201
1545255769
hex2c3cc8b9

742181049 has 21 divisors (see below), whose sum is σ = 1113866463. Its totient is φ = 494296992.

The previous prime is 742180993. The next prime is 742181071. The reversal of 742181049 is 940181247.

The square root of 742181049 is 27243.

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

742181049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 227798649 + 514382400 = 15093^2 + 22680^2 .

It is not a de Polignac number, because 742181049 - 211 = 742179001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (742181749) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 735057 + ... + 736065.

Almost surely, 2742181049 is an apocalyptic number.

742181049 is the 27243-rd square number.

742181049 is the 13622-nd centered octagonal number.

It is an amenable number.

742181049 is a deficient number, since it is larger than the sum of its proper divisors (371685414).

742181049 is an frugal number, since it uses more digits than its factorization.

742181049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The cubic root of 742181049 is about 905.3919322309.

Multiplying 742181049 by its sum of digits (36), we get a square (26718517764 = 1634582).

The spelling of 742181049 in words is "seven hundred forty-two million, one hundred eighty-one thousand, forty-nine".

Divisors: 1 3 9 27 81 243 729 1009 3027 9081 27243 81729 245187 735561 1018081 3054243 9162729 27488187 82464561 247393683 742181049