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53408768 = 21077451
BaseRepresentation
bin1100101110111…
…1010000000000
310201111110001112
43023233100000
5102133040033
65144422452
71215652460
oct313572000
9121443045
1053408768
1128169886
1215a77a28
13b0acb2a
147143ba0
154a4ec48
hex32ef400

53408768 has 44 divisors (see below), whose sum is σ = 122033952. Its totient is φ = 22886400.

The previous prime is 53408759. The next prime is 53408777. The reversal of 53408768 is 86780435.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53408759) and next prime (53408777).

It is a congruent number.

It is an unprimeable number.

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, 3443 + ... + 10893.

Almost surely, 253408768 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 53408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61016976).

53408768 is an abundant number, since it is smaller than the sum of its proper divisors (68625184).

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

53408768 is an equidigital number, since it uses as much as digits as its factorization.

53408768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7478 (or 7460 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 53408768 is about 7308.1302670382. The cubic root of 53408768 is about 376.5917947963.

The spelling of 53408768 in words is "fifty-three million, four hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 7168 7451 14902 29804 52157 59608 104314 119216 208628 238432 417256 476864 834512 953728 1669024 1907456 3338048 3814912 6676096 7629824 13352192 26704384 53408768