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53636368 = 242326337
BaseRepresentation
bin1100110010011…
…0110100010000
310201221000021011
43030212310100
5102212330433
65153340304
71220621152
oct314466420
9121830234
1053636368
1128304885
1215b67694
13b15c5c6
1471a2ad2
154a973cd
hex3326d10

53636368 has 30 divisors (see below), whose sum is σ = 108652334. Its totient is φ = 25648128.

The previous prime is 53636357. The next prime is 53636383. The reversal of 53636368 is 86363635.

It can be written as a sum of positive squares in only one way, i.e., 42667024 + 10969344 = 6532^2 + 3312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 53636368.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5296 + ... + 11632.

Almost surely, 253636368 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 53636368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54326167).

53636368 is an abundant number, since it is smaller than the sum of its proper divisors (55015966).

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

53636368 is a wasteful number, since it uses less digits than its factorization.

53636368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6391 (or 6362 counting only the distinct ones).

The product of its digits is 233280, while the sum is 40.

The square root of 53636368 is about 7323.6854110482. The cubic root of 53636368 is about 377.1259819070.

The spelling of 53636368 in words is "fifty-three million, six hundred thirty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 4232 6337 8464 12674 25348 50696 101392 145751 291502 583004 1166008 2332016 3352273 6704546 13409092 26818184 53636368