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5421312 = 283213181
BaseRepresentation
bin10100101011100100000000
3101012102122100
4110223210000
52341440222
6312110400
764036401
oct24534400
911172570
105421312
113073126
121995400
13117a7a0
14a119a8
157214ac
hex52b900

5421312 has 108 divisors (see below), whose sum is σ = 16926364. Its totient is φ = 1658880.

The previous prime is 5421287. The next prime is 5421323. The reversal of 5421312 is 2131245.

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 5089536 = 576^2 + 2256^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29862 + ... + 30042.

Almost surely, 25421312 is an apocalyptic number.

5421312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8463182).

5421312 is an abundant number, since it is smaller than the sum of its proper divisors (11505052).

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

5421312 is a wasteful number, since it uses less digits than its factorization.

5421312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 5421312 is about 2328.3711044419. The cubic root of 5421312 is about 175.6715637901.

Adding to 5421312 its reverse (2131245), we get a palindrome (7552557).

The spelling of 5421312 in words is "five million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 181 192 208 234 256 288 312 362 384 416 468 543 576 624 724 768 832 936 1086 1152 1248 1448 1629 1664 1872 2172 2304 2353 2496 2896 3258 3328 3744 4344 4706 4992 5792 6516 7059 7488 8688 9412 9984 11584 13032 14118 14976 17376 18824 21177 23168 26064 28236 29952 34752 37648 42354 46336 52128 56472 69504 75296 84708 104256 112944 139008 150592 169416 208512 225888 301184 338832 417024 451776 602368 677664 903552 1355328 1807104 2710656 5421312