Search a number
-
+
53308880 = 2451135897
BaseRepresentation
bin1100101101011…
…0110111010000
310201022101000222
43023112313100
5102121341010
65142332212
71215055322
oct313266720
9121271028
1053308880
1128100829
1215a2a068
13b076521
147119612
154a30355
hex32d6dd0

53308880 has 40 divisors (see below), whose sum is σ = 125061192. Its totient is φ = 21131264.

The previous prime is 53308847. The next prime is 53308883. The reversal of 53308880 is 8880335.

It can be written as a sum of positive squares in 4 ways, for example, as 3125824 + 50183056 = 1768^2 + 7084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 53308880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53308883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6092 + ... + 11988.

Almost surely, 253308880 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 53308880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62530596).

53308880 is an abundant number, since it is smaller than the sum of its proper divisors (71752312).

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

53308880 is a wasteful number, since it uses less digits than its factorization.

53308880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6023 (or 6017 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 53308880 is about 7301.2930361683. The cubic root of 53308880 is about 376.3568740886.

The spelling of 53308880 in words is "fifty-three million, three hundred eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 5897 9040 11794 23588 29485 47176 58970 94352 117940 235880 471760 666361 1332722 2665444 3331805 5330888 6663610 10661776 13327220 26654440 53308880