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53215424 = 264361317
BaseRepresentation
bin1100101100000…
…0000011000000
310201010121211122
43023000003000
5102110343144
65140331412
71214216003
oct313000300
9121117748
1053215424
1128047599
12159a3b68
13b042b22
1470d353a
154a127ee
hex32c00c0

53215424 has 56 divisors (see below), whose sum is σ = 110173008. Its totient is φ = 25482240.

The previous prime is 53215411. The next prime is 53215433. The reversal of 53215424 is 42451235.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 53215393 and 53215402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167714 + ... + 168030.

Almost surely, 253215424 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 53215424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55086504).

53215424 is an abundant number, since it is smaller than the sum of its proper divisors (56957584).

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

53215424 is a wasteful number, since it uses less digits than its factorization.

53215424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 423 counting only the distinct ones).

The product of its digits is 4800, while the sum is 26.

The square root of 53215424 is about 7294.8902664811. The cubic root of 53215424 is about 376.1368145543.

Adding to 53215424 its reverse (42451235), we get a palindrome (95666659).

The spelling of 53215424 in words is "fifty-three million, two hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 43 61 64 86 122 172 244 317 344 488 634 688 976 1268 1376 1952 2536 2623 2752 3904 5072 5246 10144 10492 13631 19337 20288 20984 27262 38674 41968 54524 77348 83936 109048 154696 167872 218096 309392 436192 618784 831491 872384 1237568 1662982 3325964 6651928 13303856 26607712 53215424