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53145232 = 247835717
BaseRepresentation
bin1100101010111…
…0111010010000
310201000001112221
43022232322100
5102101121412
65135030424
71213504240
oct312567220
9121001487
1053145232
1127aa9888
121596b414
13b019baa
1470b5b20
1549ebb07
hex32aee90

53145232 has 40 divisors (see below), whose sum is σ = 119117376. Its totient is φ = 22498176.

The previous prime is 53145217. The next prime is 53145251. The reversal of 53145232 is 23254135.

53145232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 53145197 and 53145206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6438 + ... + 12154.

Almost surely, 253145232 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 53145232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59558688).

53145232 is an abundant number, since it is smaller than the sum of its proper divisors (65972144).

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

53145232 is a wasteful number, since it uses less digits than its factorization.

53145232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5815 (or 5809 counting only the distinct ones).

The product of its digits is 3600, while the sum is 25.

The square root of 53145232 is about 7290.0776401901. The cubic root of 53145232 is about 375.9713649537.

Adding to 53145232 its reverse (23254135), we get a palindrome (76399367).

The spelling of 53145232 in words is "fifty-three million, one hundred forty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 332 581 664 1162 1328 2324 4648 5717 9296 11434 22868 40019 45736 80038 91472 160076 320152 474511 640304 949022 1898044 3321577 3796088 6643154 7592176 13286308 26572616 53145232