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53456328 = 2333263941
BaseRepresentation
bin1100101111101…
…0110111001000
310201120212022000
43023322313020
5102141100303
65145431000
71216241232
oct313726710
9121525260
1053456328
11281a1592
1215a9b460
13b0c8683
147157252
154a5dda3
hex32fadc8

53456328 has 64 divisors (see below), whose sum is σ = 149212800. Its totient is φ = 17732160.

The previous prime is 53456323. The next prime is 53456357. The reversal of 53456328 is 82365435.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 53456292 and 53456301.

It is not an unprimeable number, because it can be changed into a prime (53456323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56338 + ... + 57278.

It is an arithmetic number, because the mean of its divisors is an integer number (2331450).

Almost surely, 253456328 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 53456328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74606400).

53456328 is an abundant number, since it is smaller than the sum of its proper divisors (95756472).

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

53456328 is a wasteful number, since it uses less digits than its factorization.

53456328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1209 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 53456328 is about 7311.3834532187. The cubic root of 53456328 is about 376.7035454359.

The spelling of 53456328 in words is "fifty-three million, four hundred fifty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 263 526 789 941 1052 1578 1882 2104 2367 2823 3156 3764 4734 5646 6312 7101 7528 8469 9468 11292 14202 16938 18936 22584 25407 28404 33876 50814 56808 67752 101628 203256 247483 494966 742449 989932 1484898 1979864 2227347 2969796 4454694 5939592 6682041 8909388 13364082 17818776 26728164 53456328