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53120896 = 27894663
BaseRepresentation
bin1100101010100…
…0111110000000
310200221211011121
43022220332000
5102044332041
65134322024
71213343263
oct312507600
9120854147
1053120896
1127a92574
1215959314
13b00baaa
1470aacda
1549e47d1
hex32a8f80

53120896 has 32 divisors (see below), whose sum is σ = 107038800. Its totient is φ = 26256384.

The previous prime is 53120891. The next prime is 53120917. The reversal of 53120896 is 69802135.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53120891) 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, 9061 + ... + 13723.

Almost surely, 253120896 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 53120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53519400).

53120896 is an abundant number, since it is smaller than the sum of its proper divisors (53917904).

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

53120896 is an equidigital number, since it uses as much as digits as its factorization.

53120896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 53120896 is about 7288.4083310418. The cubic root of 53120896 is about 375.9139685469.

The spelling of 53120896 in words is "fifty-three million, one hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 712 1424 2848 4663 5696 9326 11392 18652 37304 74608 149216 298432 415007 596864 830014 1660028 3320056 6640112 13280224 26560448 53120896