Search a number
-
+
53444640 = 25352347103
BaseRepresentation
bin1100101111100…
…0000000100000
310201120021021010
43023320000200
5102140212030
65145300520
71216162164
oct313700040
9121507233
1053444640
1128193827
1215a94740
13b0c3262
147152ca4
154a5a6b0
hex32f8020

53444640 has 192 divisors, whose sum is σ = 181149696. Its totient is φ = 13212672.

The previous prime is 53444639. The next prime is 53444647. The reversal of 53444640 is 4644435.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 53444598 and 53444607.

It is not an unprimeable number, because it can be changed into a prime (53444647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518829 + ... + 518931.

It is an arithmetic number, because the mean of its divisors is an integer number (943488).

Almost surely, 253444640 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 53444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90574848).

53444640 is an abundant number, since it is smaller than the sum of its proper divisors (127705056).

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

53444640 is a wasteful number, since it uses less digits than its factorization.

53444640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 53444640 is about 7310.5841079903. The cubic root of 53444640 is about 376.6760885558.

The spelling of 53444640 in words is "fifty-three million, four hundred forty-four thousand, six hundred forty".