Search a number
-
+
53152461 = 3237159617
BaseRepresentation
bin1100101011000…
…0101011001101
310201000102110200
43022300223031
5102101334321
65135124113
71213534305
oct312605315
9121012420
1053152461
112800425a
1215973639
13b02027b
1470b8605
1549edd26
hex32b0acd

53152461 has 12 divisors (see below), whose sum is σ = 78851292. Its totient is φ = 34477056.

The previous prime is 53152459. The next prime is 53152493. The reversal of 53152461 is 16425135.

53152461 is a `hidden beast` number, since 53 + 152 + 461 = 666.

53152461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 18224361 + 34928100 = 4269^2 + 5910^2 .

It is not a de Polignac number, because 53152461 - 21 = 53152459 is a prime.

It is a super-2 number, since 2×531524612 = 5650368220713042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53152261) 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 11 ways as a sum of consecutive naturals, for example, 79476 + ... + 80141.

It is an arithmetic number, because the mean of its divisors is an integer number (6570941).

Almost surely, 253152461 is an apocalyptic number.

It is an amenable number.

53152461 is a deficient number, since it is larger than the sum of its proper divisors (25698831).

53152461 is a wasteful number, since it uses less digits than its factorization.

53152461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159660 (or 159657 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 53152461 is about 7290.5734342368. The cubic root of 53152461 is about 375.9884111601.

Adding to 53152461 its reverse (16425135), we get a palindrome (69577596).

It can be divided in two parts, 5315 and 2461, that added together give a 5-th power (7776 = 65).

The spelling of 53152461 in words is "fifty-three million, one hundred fifty-two thousand, four hundred sixty-one".

Divisors: 1 3 9 37 111 333 159617 478851 1436553 5905829 17717487 53152461