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53133168 = 24311103977
BaseRepresentation
bin1100101010101…
…1111101110000
310200222110000010
43022223331300
5102100230133
65134454520
71213424124
oct312537560
9120873003
1053133168
1127aa0810
1215964440
13b01455a
1470b1584
1549e8263
hex32abf70

53133168 has 80 divisors (see below), whose sum is σ = 151347456. Its totient is φ = 15928320.

The previous prime is 53133137. The next prime is 53133181. The reversal of 53133168 is 86133135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53896 + ... + 54872.

Almost surely, 253133168 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 53133168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75673728).

53133168 is an abundant number, since it is smaller than the sum of its proper divisors (98214288).

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

53133168 is a wasteful number, since it uses less digits than its factorization.

53133168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1096 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 53133168 is about 7289.2501671983. The cubic root of 53133168 is about 375.9429142247.

It can be divided in two parts, 53133 and 168, that added together give a triangular number (53301 = T326).

The spelling of 53133168 in words is "fifty-three million, one hundred thirty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 103 132 176 206 264 309 412 528 618 824 977 1133 1236 1648 1954 2266 2472 2931 3399 3908 4532 4944 5862 6798 7816 9064 10747 11724 13596 15632 18128 21494 23448 27192 32241 42988 46896 54384 64482 85976 100631 128964 171952 201262 257928 301893 402524 515856 603786 805048 1106941 1207572 1610096 2213882 2415144 3320823 4427764 4830288 6641646 8855528 13283292 17711056 26566584 53133168