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47293129 = 132234
BaseRepresentation
bin1011010001101…
…0001011001001
310021222201222101
42310122023021
544101340004
64405353401
71112661562
oct264321311
9107881871
1047293129
1124772034
1213a08861
139a4b300
1463d1169
154242ba4
hex2d1a2c9

47293129 has 15 divisors (see below), whose sum is σ = 53538663. Its totient is φ = 41757144.

The previous prime is 47293097. The next prime is 47293153. The reversal of 47293129 is 92139274.

The square root of 47293129 is 6877.

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

It can be written as a sum of positive squares in only one way, i.e., 6996025 + 40297104 = 2645^2 + 6348^2 .

It is not a de Polignac number, because 47293129 - 25 = 47293097 is a prime.

It is a super-3 number, since 3×472931293 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

Its product of digits (27216) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (47290129) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2056212 + ... + 2056234.

Almost surely, 247293129 is an apocalyptic number.

47293129 is the 6877-th square number.

47293129 is the 3439-th centered octagonal number.

It is an amenable number.

47293129 is a deficient number, since it is larger than the sum of its proper divisors (6245534).

47293129 is an frugal number, since it uses more digits than its factorization.

47293129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 36 counting only the distinct ones).

The product of its digits is 27216, while the sum is 37.

The cubic root of 47293129 is about 361.6313030281.

The spelling of 47293129 in words is "forty-seven million, two hundred ninety-three thousand, one hundred twenty-nine".

Divisors: 1 13 23 169 299 529 3887 6877 12167 89401 158171 279841 2056223 3637933 47293129