Search a number
-
+
53382320 = 2456110939
BaseRepresentation
bin1100101110100…
…0110010110000
310201110002202222
43023220302300
5102131213240
65144100212
71215512405
oct313506260
9121402688
1053382320
1128150a22
1215a64668
13b0a0a94
1471382ac
154a46eb5
hex32e8cb0

53382320 has 40 divisors (see below), whose sum is σ = 126160080. Its totient is φ = 21000960.

The previous prime is 53382313. The next prime is 53382331. The reversal of 53382320 is 2328335.

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 53382320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 590 + ... + 10349.

It is an arithmetic number, because the mean of its divisors is an integer number (3154002).

Almost surely, 253382320 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 53382320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63080040).

53382320 is an abundant number, since it is smaller than the sum of its proper divisors (72777760).

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

53382320 is a wasteful number, since it uses less digits than its factorization.

53382320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11013 (or 11007 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 53382320 is about 7306.3205514130. The cubic root of 53382320 is about 376.5296218317.

The spelling of 53382320 in words is "fifty-three million, three hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 10939 21878 43756 54695 87512 109390 175024 218780 437560 667279 875120 1334558 2669116 3336395 5338232 6672790 10676464 13345580 26691160 53382320