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5305272 = 2337231373
BaseRepresentation
bin10100001111001110111000
3100222112110120
4110033032320
52324232042
6305413240
763044160
oct24171670
910875416
105305272
112aa3a25
12193a220
131139a1b
149c15a0
156ebdec
hex50f3b8

5305272 has 64 divisors (see below), whose sum is σ = 15828480. Its totient is φ = 1448832.

The previous prime is 5305253. The next prime is 5305273. The reversal of 5305272 is 2725035.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5305273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3178 + ... + 4550.

It is an arithmetic number, because the mean of its divisors is an integer number (247320).

Almost surely, 25305272 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 5305272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7914240).

5305272 is an abundant number, since it is smaller than the sum of its proper divisors (10523208).

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

5305272 is a wasteful number, since it uses less digits than its factorization.

5305272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 5305272 is about 2303.3176072787. The cubic root of 5305272 is about 174.4091310484.

The spelling of 5305272 in words is "five million, three hundred five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1373 1932 2746 3864 4119 5492 8238 9611 10984 16476 19222 28833 31579 32952 38444 57666 63158 76888 94737 115332 126316 189474 221053 230664 252632 378948 442106 663159 757896 884212 1326318 1768424 2652636 5305272