Search a number
-
+
53415144 = 2332741877
BaseRepresentation
bin1100101111000…
…0110011101000
310201111202210200
43023300303220
5102133241034
65144512200
71216010166
oct313606350
9121452720
1053415144
1128173652
1215a7b660
13b0b29c3
147146236
154a51a99
hex32f0ce8

53415144 has 24 divisors (see below), whose sum is σ = 144666210. Its totient is φ = 17805024.

The previous prime is 53415133. The next prime is 53415191. The reversal of 53415144 is 44151435.

It is a happy number.

53415144 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 only one way, i.e., 37970244 + 15444900 = 6162^2 + 3930^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×534151443 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 370867 + ... + 371010.

Almost surely, 253415144 is an apocalyptic number.

It is an amenable number.

53415144 is an abundant number, since it is smaller than the sum of its proper divisors (91251066).

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

53415144 is a wasteful number, since it uses less digits than its factorization.

53415144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741889 (or 741882 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 53415144 is about 7308.5664805077. The cubic root of 53415144 is about 376.6067801868.

Adding to 53415144 its reverse (44151435), we get a palindrome (97566579).

The spelling of 53415144 in words is "fifty-three million, four hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 741877 1483754 2225631 2967508 4451262 5935016 6676893 8902524 13353786 17805048 26707572 53415144