Base | Representation |
---|---|
bin | 1100110100001… |
… | …0000000000000 |
3 | 10202010200000000 |
4 | 3031002000000 |
5 | 102224411322 |
6 | 5200000000 |
7 | 1221563604 |
oct | 315020000 |
9 | 122120000 |
10 | 53747712 |
11 | 283804a7 |
12 | 16000000 |
13 | b19b1a5 |
14 | 71d1504 |
15 | 4aba3ac |
hex | 3342000 |
53747712 has 126 divisors (see below), whose sum is σ = 161225103. Its totient is φ = 17915904.
The previous prime is 53747699. The next prime is 53747719. The reversal of 53747712 is 21774735.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a Jordan-Polya number, since it can be written as (4!)2 ⋅ (3!)6 ⋅ 2!.
It can be written as a sum of positive squares in only one way, i.e., 26873856 + 26873856 = 5184^2 + 5184^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=5184.
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (41160) is a multiple of the sum of its prime divisors (5).
It is a nialpdrome in base 6.
It is not an unprimeable number, because it can be changed into a prime (53747719) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17915903 + 17915904 + 17915905.
Almost surely, 253747712 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 53747712
53747712 is an abundant number, since it is smaller than the sum of its proper divisors (107477391).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53747712 is an frugal number, since it uses more digits than its factorization.
53747712 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 50 (or 5 counting only the distinct ones).
The product of its digits is 41160, while the sum is 36.
The square root of 53747712 is about 7331.2831073421. The cubic root of 53747712 is about 377.3867607661.
Multiplying 53747712 by its sum of digits (36), we get a 5-th power (1934917632 = 725).
The spelling of 53747712 in words is "fifty-three million, seven hundred forty-seven thousand, seven hundred twelve".
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