Search a number
-
+
53302580 = 2252923169
BaseRepresentation
bin1100101101010…
…1010100110100
310201022001101122
43023111110310
5102121140310
65142243112
71215031052
oct313252464
9121261348
1053302580
11280a7021
1215a26498
13b0736b6
1471171d2
154a2d555
hex32d5534

53302580 has 36 divisors (see below), whose sum is σ = 115964940. Its totient is φ = 20579328.

The previous prime is 53302553. The next prime is 53302597. The reversal of 53302580 is 8520335.

53302580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 913936 + 52388644 = 956^2 + 7238^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15236 + ... + 18404.

Almost surely, 253302580 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 53302580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57982470).

53302580 is an abundant number, since it is smaller than the sum of its proper divisors (62662360).

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

53302580 is a wasteful number, since it uses less digits than its factorization.

53302580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 53302580 is about 7300.8615929902. The cubic root of 53302580 is about 376.3420476550.

The spelling of 53302580 in words is "fifty-three million, three hundred two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 841 1682 3169 3364 4205 6338 8410 12676 15845 16820 31690 63380 91901 183802 367604 459505 919010 1838020 2665129 5330258 10660516 13325645 26651290 53302580