Search a number
-
+
52947000 = 2333533753
BaseRepresentation
bin1100100111111…
…0100000111000
310200121222122000
43021332200320
5102023301000
65130501000
71212020301
oct311764070
9120558560
1052947000
1127983957
1215894760
13ac7a8b2
1470637a8
1549ad000
hex327e838

52947000 has 256 divisors, whose sum is σ = 192067200. Its totient is φ = 13478400.

The previous prime is 52946981. The next prime is 52947007. The reversal of 52947000 is 74925.

52947000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52947007) 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 63 ways as a sum of consecutive naturals, for example, 998974 + ... + 999026.

Almost surely, 252947000 is an apocalyptic number.

52947000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52947000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96033600).

52947000 is an abundant number, since it is smaller than the sum of its proper divisors (139120200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52947000 is a wasteful number, since it uses less digits than its factorization.

52947000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 52947000 is about 7276.4689238669. The cubic root of 52947000 is about 375.5033241373.

The spelling of 52947000 in words is "fifty-two million, nine hundred forty-seven thousand".