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53104608 = 2532238017
BaseRepresentation
bin1100101010010…
…0111111100000
310200220222211100
43022210333200
5102043321413
65134114400
71213244634
oct312447740
9120828740
1053104608
1127a81307
121594ba00
13b00455b
1470a4dc4
1549dea73
hex32a4fe0

53104608 has 72 divisors (see below), whose sum is σ = 157601808. Its totient is φ = 16929792.

The previous prime is 53104603. The next prime is 53104633. The reversal of 53104608 is 80640135.

53104608 is a `hidden beast` number, since 53 + 1 + 0 + 4 + 608 = 666.

53104608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53104603) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2616 + ... + 10632.

It is an arithmetic number, because the mean of its divisors is an integer number (2188914).

Almost surely, 253104608 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 53104608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78800904).

53104608 is an abundant number, since it is smaller than the sum of its proper divisors (104497200).

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

53104608 is a wasteful number, since it uses less digits than its factorization.

53104608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8056 (or 8045 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 53104608 is about 7287.2908546318. The cubic root of 53104608 is about 375.8755435384.

The spelling of 53104608 in words is "fifty-three million, one hundred four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 8017 16034 24051 32068 48102 64136 72153 96204 128272 144306 184391 192408 256544 288612 368782 384816 553173 577224 737564 769632 1106346 1154448 1475128 1659519 2212692 2308896 2950256 3319038 4425384 5900512 6638076 8850768 13276152 17701536 26552304 53104608