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53948944 = 2471313677
BaseRepresentation
bin1100110111001…
…1001000010000
310202111220001001
43031303020100
5102302331234
65204151344
71223362360
oct315631020
9122456031
1053948944
11284a8705
1216098554
13b23b96a
1472449a0
154b09d14
hex3373210

53948944 has 40 divisors (see below), whose sum is σ = 120403008. Its totient is φ = 22938240.

The previous prime is 53948941. The next prime is 53948953. The reversal of 53948944 is 44984935.

It is a junction number, because it is equal to n+sod(n) for n = 53948894 and 53948903.

It is not an unprimeable number, because it can be changed into a prime (53948941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12834 + ... + 16510.

Almost surely, 253948944 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 53948944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60201504).

53948944 is an abundant number, since it is smaller than the sum of its proper divisors (66454064).

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

53948944 is a wasteful number, since it uses less digits than its factorization.

53948944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3817 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 53948944 is about 7344.9944860429. The cubic root of 53948944 is about 377.8571542037.

The spelling of 53948944 in words is "fifty-three million, nine hundred forty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 262 524 917 1048 1834 2096 3668 3677 7336 7354 14672 14708 25739 29416 51478 58832 102956 205912 411824 481687 963374 1926748 3371809 3853496 6743618 7706992 13487236 26974472 53948944