Search a number
-
+
53208576 = 29341283
BaseRepresentation
bin1100101011111…
…0011000000000
310201010021110000
43022332120000
5102110133301
65140240000
71214160021
oct312763000
9121107400
1053208576
1128042433
12159a0000
13b03c985
1470d0c48
154a10786
hex32be600

53208576 has 100 divisors (see below), whose sum is σ = 158937372. Its totient is φ = 17722368.

The previous prime is 53208527. The next prime is 53208577. The reversal of 53208576 is 67580235.

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

It is a self number, because there is not a number n which added to its sum of digits gives 53208576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53208577) 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 9 ways as a sum of consecutive naturals, for example, 40831 + ... + 42113.

Almost surely, 253208576 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 53208576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79468686).

53208576 is an abundant number, since it is smaller than the sum of its proper divisors (105728796).

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

53208576 is an equidigital number, since it uses as much as digits as its factorization.

53208576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 53208576 is about 7294.4208817424. The cubic root of 53208576 is about 376.1206795367.

The spelling of 53208576 in words is "fifty-three million, two hundred eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1283 1296 1536 1728 2304 2566 2592 3456 3849 4608 5132 5184 6912 7698 10264 10368 11547 13824 15396 20528 20736 23094 30792 34641 41056 41472 46188 61584 69282 82112 92376 103923 123168 138564 164224 184752 207846 246336 277128 328448 369504 415692 492672 554256 656896 739008 831384 985344 1108512 1478016 1662768 1970688 2217024 2956032 3325536 4434048 5912064 6651072 8868096 13302144 17736192 26604288 53208576