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53034768 = 2432536949
BaseRepresentation
bin1100101001001…
…1111100010000
310200210110000200
43022103330100
5102034103033
65132415200
71212534213
oct312237420
9120713020
1053034768
1127a33896
1215917500
13acab827
14708777a
1549c9013
hex3293f10

53034768 has 60 divisors (see below), whose sum is σ = 151245900. Its totient is φ = 17342208.

The previous prime is 53034763. The next prime is 53034791. The reversal of 53034768 is 86743035.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 42614784 + 10419984 = 6528^2 + 3228^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53034763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4158 + ... + 11106.

It is an arithmetic number, because the mean of its divisors is an integer number (2520765).

Almost surely, 253034768 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 53034768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75622950).

53034768 is an abundant number, since it is smaller than the sum of its proper divisors (98211132).

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

53034768 is a wasteful number, since it uses less digits than its factorization.

53034768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7016 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 53034768 is about 7282.4973738409. The cubic root of 53034768 is about 375.7106949164.

The spelling of 53034768 in words is "fifty-three million, thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 6949 7632 13898 20847 27796 41694 55592 62541 83388 111184 125082 166776 250164 333552 368297 500328 736594 1000656 1104891 1473188 2209782 2946376 3314673 4419564 5892752 6629346 8839128 13258692 17678256 26517384 53034768