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5453280 = 253257541
BaseRepresentation
bin10100110011010111100000
3101021001111100
4110303113200
52344001110
6312514400
764231530
oct24632740
911231440
105453280
113095148
1219aba00
13118c1c1
14a1d4c0
1572abc0
hex5335e0

5453280 has 144 divisors (see below), whose sum is σ = 21307104. Its totient is φ = 1244160.

The previous prime is 5453257. The next prime is 5453281. The reversal of 5453280 is 823545.

5453280 is a `hidden beast` number, since 54 + 532 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5453281) 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 23 ways as a sum of consecutive naturals, for example, 9810 + ... + 10350.

It is an arithmetic number, because the mean of its divisors is an integer number (147966).

Almost surely, 25453280 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 5453280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10653552).

5453280 is an abundant number, since it is smaller than the sum of its proper divisors (15853824).

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

5453280 is a wasteful number, since it uses less digits than its factorization.

5453280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5453280 is about 2335.2258991370. The cubic root of 5453280 is about 176.0161830849.

Subtracting from 5453280 its sum of digits (27), we obtain a triangular number (5453253 = T3302).

The spelling of 5453280 in words is "five million, four hundred fifty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 541 560 630 672 720 840 1008 1082 1120 1260 1440 1623 1680 2016 2164 2520 2705 3246 3360 3787 4328 4869 5040 5410 6492 7574 8115 8656 9738 10080 10820 11361 12984 15148 16230 17312 18935 19476 21640 22722 24345 25968 30296 32460 34083 37870 38952 43280 45444 48690 51936 56805 60592 64920 68166 75740 77904 86560 90888 97380 113610 121184 129840 136332 151480 155808 170415 181776 194760 227220 259680 272664 302960 340830 363552 389520 454440 545328 605920 681660 779040 908880 1090656 1363320 1817760 2726640 5453280