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53495936 = 271322473
BaseRepresentation
bin1100110000010…
…0100010000000
310201122212121222
43030010202000
5102143332221
65150334212
71216464554
oct314044200
9121585558
1053495936
112821931a
1215aba368
13b110700
147167864
154a6a9ab
hex3304880

53495936 has 48 divisors (see below), whose sum is σ = 115449210. Its totient is φ = 24680448.

The previous prime is 53495929. The next prime is 53495947. The reversal of 53495936 is 63959435.

It can be written as a sum of positive squares in 3 ways, for example, as 33640000 + 19855936 = 5800^2 + 4456^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20396 + ... + 22868.

Almost surely, 253495936 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 53495936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57724605).

53495936 is an abundant number, since it is smaller than the sum of its proper divisors (61953274).

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

53495936 is a wasteful number, since it uses less digits than its factorization.

53495936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2488 counting only the distinct ones).

The product of its digits is 437400, while the sum is 44.

The square root of 53495936 is about 7314.0916045672. The cubic root of 53495936 is about 376.7965608688.

The spelling of 53495936 in words is "fifty-three million, four hundred ninety-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1352 1664 2473 2704 4946 5408 9892 10816 19784 21632 32149 39568 64298 79136 128596 158272 257192 316544 417937 514384 835874 1028768 1671748 2057536 3343496 4115072 6686992 13373984 26747968 53495936