Search a number
-
+
53389440 = 27325132331
BaseRepresentation
bin1100101110101…
…0100010000000
310201110110112200
43023222202000
5102131430230
65144153200
71215542226
oct313524200
9121413480
1053389440
1128156305
1215a68800
13b0a40b0
14713ab16
154a49160
hex32ea880

53389440 has 384 divisors, whose sum is σ = 213857280. Its totient is φ = 12165120.

The previous prime is 53389433. The next prime is 53389447. The reversal of 53389440 is 4498335.

53389440 is a `hidden beast` number, since 533 + 89 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (53389433) and next prime (53389447).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 53389395 and 53389404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53389447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1722225 + ... + 1722255.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 253389440 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 53389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106928640).

53389440 is an abundant number, since it is smaller than the sum of its proper divisors (160467840).

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

53389440 is a wasteful number, since it uses less digits than its factorization.

53389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 53389440 is about 7306.8077845253. The cubic root of 53389440 is about 376.5463612798.

The spelling of 53389440 in words is "fifty-three million, three hundred eighty-nine thousand, four hundred forty".