Search a number
-
+
52545312 = 2532434243
BaseRepresentation
bin1100100001110…
…0011100100000
310122212120121200
43020130130200
5101422422222
65114121200
71205425221
oct310343440
9118776550
1052545312
112772a086
1215720200
13ab69b01
146d9b248
15492deac
hex321c720

52545312 has 72 divisors (see below), whose sum is σ = 152936784. Its totient is φ = 17103744.

The previous prime is 52545307. The next prime is 52545319. The reversal of 52545312 is 21354525.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×525453122 = 5522019626354688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52545319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10263 + ... + 14505.

It is an arithmetic number, because the mean of its divisors is an integer number (2124122).

Almost surely, 252545312 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 52545312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76468392).

52545312 is an abundant number, since it is smaller than the sum of its proper divisors (100391472).

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

52545312 is a wasteful number, since it uses less digits than its factorization.

52545312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4302 (or 4291 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 52545312 is about 7248.8145237687. The cubic root of 52545312 is about 374.5513140298.

Adding to 52545312 its reverse (21354525), we get a palindrome (73899837).

The spelling of 52545312 in words is "fifty-two million, five hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 4243 6192 8486 12384 12729 16972 25458 33944 38187 50916 67888 76374 101832 135776 152748 182449 203664 305496 364898 407328 547347 610992 729796 1094694 1221984 1459592 1642041 2189388 2919184 3284082 4378776 5838368 6568164 8757552 13136328 17515104 26272656 52545312