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53668480 = 27583857
BaseRepresentation
bin1100110010111…
…0101010000000
310201222122022111
43030232222000
5102214342410
65154145104
71221113605
oct314565200
9121878274
1053668480
1128326a18
1215b82194
13b1710c8
1471b06ac
154aa1b8a
hex332ea80

53668480 has 32 divisors (see below), whose sum is σ = 128302740. Its totient is φ = 21467136.

The previous prime is 53668477. The next prime is 53668481. The reversal of 53668480 is 8486635.

It can be written as a sum of positive squares in 2 ways, for example, as 53114944 + 553536 = 7288^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (53668481) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 41289 + ... + 42568.

Almost surely, 253668480 is an apocalyptic number.

It is an amenable number.

53668480 is an abundant number, since it is smaller than the sum of its proper divisors (74634260).

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

53668480 is an equidigital number, since it uses as much as digits as its factorization.

53668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83876 (or 83864 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 53668480 is about 7325.8774218519. The cubic root of 53668480 is about 377.2012284483.

The spelling of 53668480 in words is "fifty-three million, six hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 83857 167714 335428 419285 670856 838570 1341712 1677140 2683424 3354280 5366848 6708560 10733696 13417120 26834240 53668480