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53448464 = 2431197547
BaseRepresentation
bin1100101111100…
…0111100010000
310201120110111202
43023320330100
5102140322324
65145330332
71216206266
oct313707420
9121513452
1053448464
1128196693
1215a969a8
13b0c4c14
147154436
154a5b8ae
hex32f8f10

53448464 has 40 divisors (see below), whose sum is σ = 107635968. Its totient is φ = 25683840.

The previous prime is 53448449. The next prime is 53448467. The reversal of 53448464 is 46484435.

53448464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (53448467) by changing a digit.

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, 97439 + ... + 97985.

Almost surely, 253448464 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 53448464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53817984).

53448464 is an abundant number, since it is smaller than the sum of its proper divisors (54187504).

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

53448464 is a wasteful number, since it uses less digits than its factorization.

53448464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 777 counting only the distinct ones).

The product of its digits is 184320, while the sum is 38.

The square root of 53448464 is about 7310.8456419213. The cubic root of 53448464 is about 376.6850721508.

The spelling of 53448464 in words is "fifty-three million, four hundred forty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 31 62 124 197 248 394 496 547 788 1094 1576 2188 3152 4376 6107 8752 12214 16957 24428 33914 48856 67828 97712 107759 135656 215518 271312 431036 862072 1724144 3340529 6681058 13362116 26724232 53448464