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5291328 = 263731127
BaseRepresentation
bin10100001011110101000000
3100221211100010
4110023311000
52323310303
6305224520
762655420
oct24136500
910854303
105291328
112a944a9
121932140
131133583
149ba480
156e7c03
hex50bd40

5291328 has 112 divisors (see below), whose sum is σ = 16646144. Its totient is φ = 1451520.

The previous prime is 5291327. The next prime is 5291347. The reversal of 5291328 is 8231925.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (4320) is a multiple of the sum of its prime factors (180).

It is a junction number, because it is equal to n+sod(n) for n = 5291295 and 5291304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5291327) 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, 41601 + ... + 41727.

Almost surely, 25291328 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 5291328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323072).

5291328 is an abundant number, since it is smaller than the sum of its proper divisors (11354816).

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

5291328 is a wasteful number, since it uses less digits than its factorization.

5291328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 5291328 is about 2300.2886775359. The cubic root of 5291328 is about 174.2561954588.

The spelling of 5291328 in words is "five million, two hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 127 168 186 192 217 224 248 254 336 372 381 434 448 496 508 651 672 744 762 868 889 992 1016 1302 1344 1488 1524 1736 1778 1984 2032 2604 2667 2976 3048 3472 3556 3937 4064 5208 5334 5952 6096 6944 7112 7874 8128 10416 10668 11811 12192 13888 14224 15748 20832 21336 23622 24384 27559 28448 31496 41664 42672 47244 55118 56896 62992 82677 85344 94488 110236 125984 165354 170688 188976 220472 251968 330708 377952 440944 661416 755904 881888 1322832 1763776 2645664 5291328