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53354224 = 24711231127
BaseRepresentation
bin1100101110000…
…1111011110000
310201101200020101
43023201323300
5102124313344
65143322144
71215334450
oct313417360
9121350211
1053354224
1128131900
1215a50354
13b091061
14712bd60
154a3d9d4
hex32e1ef0

53354224 has 120 divisors (see below), whose sum is σ = 135102464. Its totient is φ = 19958400.

The previous prime is 53354219. The next prime is 53354233. The reversal of 53354224 is 42245335.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 53354192 and 53354201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420049 + ... + 420175.

Almost surely, 253354224 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 53354224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67551232).

53354224 is an abundant number, since it is smaller than the sum of its proper divisors (81748240).

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

53354224 is a wasteful number, since it uses less digits than its factorization.

53354224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its digits is 14400, while the sum is 28.

The square root of 53354224 is about 7304.3975795407. The cubic root of 53354224 is about 376.4635523118.

Adding to 53354224 its reverse (42245335), we get a palindrome (95599559).

Subtracting from 53354224 its reverse (42245335), we obtain a square (11108889 = 33332).

It can be divided in two parts, 5335 and 4224, that added together give a palindrome (9559).

The spelling of 53354224 in words is "fifty-three million, three hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 121 124 127 154 176 217 242 248 254 308 341 434 484 496 508 616 682 847 868 889 968 1016 1232 1364 1397 1694 1736 1778 1936 2032 2387 2728 2794 3388 3472 3556 3751 3937 4774 5456 5588 6776 7112 7502 7874 9548 9779 11176 13552 14224 15004 15367 15748 19096 19558 22352 26257 27559 30008 30734 31496 38192 39116 43307 52514 55118 60016 61468 62992 78232 86614 105028 107569 110236 122936 156464 173228 210056 215138 220472 245872 303149 346456 420112 430276 440944 476377 606298 692912 860552 952754 1212596 1721104 1905508 2425192 3334639 3811016 4850384 6669278 7622032 13338556 26677112 53354224