Search a number
-
+
53615328 = 2531342961
BaseRepresentation
bin1100110010000…
…1101011100000
310201212221101220
43030201223200
5102211142303
65153055040
71220502624
oct314415340
9121787356
1053615328
112829aa98
1215b57480
13b152b60
147199184
154a91053
hex3321ae0

53615328 has 48 divisors (see below), whose sum is σ = 151569936. Its totient is φ = 16496640.

The previous prime is 53615293. The next prime is 53615329. The reversal of 53615328 is 82351635.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53615329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20233 + ... + 22728.

It is an arithmetic number, because the mean of its divisors is an integer number (3157707).

Almost surely, 253615328 is an apocalyptic number.

It is an amenable number.

53615328 is an abundant number, since it is smaller than the sum of its proper divisors (97954608).

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

53615328 is a wasteful number, since it uses less digits than its factorization.

53615328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42987 (or 42979 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 53615328 is about 7322.2488348867. The cubic root of 53615328 is about 377.0766635763.

The spelling of 53615328 in words is "fifty-three million, six hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 42961 85922 128883 171844 257766 343688 515532 558493 687376 1031064 1116986 1374752 1675479 2062128 2233972 3350958 4124256 4467944 6701916 8935888 13403832 17871776 26807664 53615328