Search a number
-
+
53033904 = 24327114783
BaseRepresentation
bin1100101001001…
…1101110110000
310200210101211200
43022103232300
5102034041104
65132411200
71212531540
oct312235660
9120711750
1053033904
1127a33180
1215916b00
13acab311
147087320
1549c8b39
hex3293bb0

53033904 has 120 divisors (see below), whose sum is σ = 185083392. Its totient is φ = 13772160.

The previous prime is 53033899. The next prime is 53033927. The reversal of 53033904 is 40933035.

53033904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 8697 + ... + 13479.

Almost surely, 253033904 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 53033904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92541696).

53033904 is an abundant number, since it is smaller than the sum of its proper divisors (132049488).

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

53033904 is a wasteful number, since it uses less digits than its factorization.

53033904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 53033904 is about 7282.4380532896. The cubic root of 53033904 is about 375.7086546460.

Adding to 53033904 its reverse (40933035), we get a palindrome (93966939).

The spelling of 53033904 in words is "fifty-three million, thirty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 4783 5544 9566 11088 14349 19132 28698 33481 38264 43047 52613 57396 66962 76528 86094 100443 105226 114792 133924 157839 172188 200886 210452 229584 267848 301329 315678 344376 368291 401772 420904 473517 535696 602658 631356 688752 736582 803544 841808 947034 1104873 1205316 1262712 1473164 1607088 1894068 2209746 2410632 2525424 2946328 3314619 3788136 4419492 4821264 5892656 6629238 7576272 8838984 13258476 17677968 26516952 53033904