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5093280 = 25355131
BaseRepresentation
bin10011011011011110100000
3100120202200000
4103123132200
52300441110
6301100000
761202133
oct23333640
910522600
105093280
112969725
121857600
13109439a
1496821a
156a91c0
hex4db7a0

5093280 has 144 divisors (see below), whose sum is σ = 18162144. Its totient is φ = 1347840.

The previous prime is 5093279. The next prime is 5093303. The reversal of 5093280 is 823905.

5093280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 38815 + ... + 38945.

It is an arithmetic number, because the mean of its divisors is an integer number (126126).

Almost surely, 25093280 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 5093280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081072).

5093280 is an abundant number, since it is smaller than the sum of its proper divisors (13068864).

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

5093280 is a wasteful number, since it uses less digits than its factorization.

5093280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5093280 is about 2256.8296346867. The cubic root of 5093280 is about 172.0544266193.

The spelling of 5093280 in words is "five million, ninety-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 131 135 144 160 162 180 216 240 243 262 270 288 324 360 393 405 432 480 486 524 540 648 655 720 786 810 864 972 1048 1080 1179 1215 1296 1310 1440 1572 1620 1944 1965 2096 2160 2358 2430 2592 2620 3144 3240 3537 3888 3930 4192 4320 4716 4860 5240 5895 6288 6480 7074 7776 7860 9432 9720 10480 10611 11790 12576 12960 14148 15720 17685 18864 19440 20960 21222 23580 28296 31440 31833 35370 37728 38880 42444 47160 53055 56592 62880 63666 70740 84888 94320 106110 113184 127332 141480 159165 169776 188640 212220 254664 282960 318330 339552 424440 509328 565920 636660 848880 1018656 1273320 1697760 2546640 5093280