Search a number
-
+
53384688 = 24327211251
BaseRepresentation
bin1100101110100…
…1010111110000
310201110020000200
43023221113300
5102131302223
65144115200
71215522330
oct313512760
9121406020
1053384688
1128152785
1215a65b00
13b0a1b96
1471390c0
154a47a43
hex32e95f0

53384688 has 120 divisors (see below), whose sum is σ = 172238976. Its totient is φ = 15120000.

The previous prime is 53384657. The next prime is 53384689. The reversal of 53384688 is 88648335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53384689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212563 + ... + 212813.

Almost surely, 253384688 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 53384688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86119488).

53384688 is an abundant number, since it is smaller than the sum of its proper divisors (118854288).

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

53384688 is a wasteful number, since it uses less digits than its factorization.

53384688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 474 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 53384688 is about 7306.4826010879. The cubic root of 53384688 is about 376.5351892740.

The spelling of 53384688 in words is "fifty-three million, three hundred eighty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 211 251 252 336 422 502 504 633 753 844 1004 1008 1266 1477 1506 1688 1757 1899 2008 2259 2532 2954 3012 3376 3514 3798 4016 4431 4518 5064 5271 5908 6024 7028 7596 8862 9036 10128 10542 11816 12048 13293 14056 15192 15813 17724 18072 21084 23632 26586 28112 30384 31626 35448 36144 42168 52961 53172 63252 70896 84336 105922 106344 126504 158883 211844 212688 253008 317766 370727 423688 476649 635532 741454 847376 953298 1112181 1271064 1482908 1906596 2224362 2542128 2965816 3336543 3813192 4448724 5931632 6673086 7626384 8897448 13346172 17794896 26692344 53384688