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53431808 = 29791321
BaseRepresentation
bin1100101111010…
…0111000000000
310201112121122212
43023310320000
5102134304213
65145121252
71216106603
oct313647000
9121477585
1053431808
1128185121
1215a89228
13b0ba471
14714c33a
154a569a8
hex32f4e00

53431808 has 40 divisors (see below), whose sum is σ = 108192480. Its totient is φ = 26357760.

The previous prime is 53431801. The next prime is 53431823. The reversal of 53431808 is 80813435.

It is a happy number.

It is a super-2 number, since 2×534318082 = 5709916212297728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53431801) 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, 39788 + ... + 41108.

It is an arithmetic number, because the mean of its divisors is an integer number (2704812).

Almost surely, 253431808 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 53431808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54096240).

53431808 is an abundant number, since it is smaller than the sum of its proper divisors (54760672).

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

53431808 is an equidigital number, since it uses as much as digits as its factorization.

53431808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 53431808 is about 7309.7064236534. The cubic root of 53431808 is about 376.6459396362.

The spelling of 53431808 in words is "fifty-three million, four hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 512 632 1264 1321 2528 2642 5056 5284 10112 10568 20224 21136 40448 42272 84544 104359 169088 208718 338176 417436 676352 834872 1669744 3339488 6678976 13357952 26715904 53431808