Search a number
-
+
52290144 = 253360521
BaseRepresentation
bin1100011101111…
…0001001100000
310122101121121000
43013132021200
5101341241034
65104432000
71203313254
oct307361140
9118347530
1052290144
11275753a5
1215618600
13aaaa91a
146d32264
1548cd599
hex31de260

52290144 has 48 divisors (see below), whose sum is σ = 152515440. Its totient is φ = 17429760.

The previous prime is 52290143. The next prime is 52290163. The reversal of 52290144 is 44109225.

It is a tau number, because it is divible by the number of its divisors (48).

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 (52290143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29397 + ... + 31124.

It is an arithmetic number, because the mean of its divisors is an integer number (3177405).

Almost surely, 252290144 is an apocalyptic number.

52290144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

52290144 is an abundant number, since it is smaller than the sum of its proper divisors (100225296).

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

52290144 is a wasteful number, since it uses less digits than its factorization.

52290144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60540 (or 60526 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 52290144 is about 7231.1924327873. The cubic root of 52290144 is about 373.9440373051.

Adding to 52290144 its reverse (44109225), we get a palindrome (96399369).

The spelling of 52290144 in words is "fifty-two million, two hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 60521 121042 181563 242084 363126 484168 544689 726252 968336 1089378 1452504 1634067 1936672 2178756 2905008 3268134 4357512 5810016 6536268 8715024 13072536 17430048 26145072 52290144