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53397344 = 25711131667
BaseRepresentation
bin1100101110110…
…0011101100000
310201110212101102
43023230131200
5102132203334
65144253532
71215604250
oct313543540
9121425342
1053397344
1128161240
1215a712a8
13b0a7880
14713d960
154a4b67e
hex32ec760

53397344 has 96 divisors (see below), whose sum is σ = 141232896. Its totient is φ = 19192320.

The previous prime is 53397319. The next prime is 53397367. The reversal of 53397344 is 44379335.

53397344 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 = 53397298 and 53397307.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 31199 + ... + 32865.

It is an arithmetic number, because the mean of its divisors is an integer number (1471176).

Almost surely, 253397344 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 53397344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70616448).

53397344 is an abundant number, since it is smaller than the sum of its proper divisors (87835552).

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

53397344 is a wasteful number, since it uses less digits than its factorization.

53397344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1700 counting only the distinct ones).

The product of its digits is 136080, while the sum is 38.

The square root of 53397344 is about 7307.3486299752. The cubic root of 53397344 is about 376.5649422051.

Subtracting from 53397344 its reverse (44379335), we obtain a square (9018009 = 30032).

The spelling of 53397344 in words is "fifty-three million, three hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 1667 2002 2288 2464 2912 3334 4004 4576 6668 8008 11669 13336 16016 18337 21671 23338 26672 32032 36674 43342 46676 53344 73348 86684 93352 128359 146696 151697 173368 186704 238381 256718 293392 303394 346736 373408 476762 513436 586784 606788 693472 953524 1026872 1213576 1668667 1907048 2053744 2427152 3337334 3814096 4107488 4854304 6674668 7628192 13349336 26698672 53397344