Search a number
-
+
53377416 = 23321743609
BaseRepresentation
bin1100101110011…
…1100110001000
310201102212001100
43023213212020
5102131034131
65144021400
71215462201
oct313474610
9121385040
1053377416
1128148274
1215a61860
13b09b791
1471365a8
154a457e6
hex32e7988

53377416 has 48 divisors (see below), whose sum is σ = 153071100. Its totient is φ = 16745472.

The previous prime is 53377393. The next prime is 53377417. The reversal of 53377416 is 61477335.

53377416 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 52620516 + 756900 = 7254^2 + 870^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53377417) 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, 20581 + ... + 23028.

Almost surely, 253377416 is an apocalyptic number.

It is an amenable number.

53377416 is an abundant number, since it is smaller than the sum of its proper divisors (99693684).

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

53377416 is a wasteful number, since it uses less digits than its factorization.

53377416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43638 (or 43631 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 53377416 is about 7305.9849438662. The cubic root of 53377416 is about 376.5180914361.

The spelling of 53377416 in words is "fifty-three million, three hundred seventy-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 43609 87218 130827 174436 261654 348872 392481 523308 741353 784962 1046616 1482706 1569924 2224059 2965412 3139848 4448118 5930824 6672177 8896236 13344354 17792472 26688708 53377416