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5308464 = 243723761
BaseRepresentation
bin10100010000000000110000
3100222200211210
4110100000300
52324332324
6305440120
763056400
oct24200060
910880753
105308464
112aa6367
121940040
13113b305
149c2800
156ecd29
hex510030

5308464 has 120 divisors (see below), whose sum is σ = 16652208. Its totient is φ = 1451520.

The previous prime is 5308453. The next prime is 5308483. The reversal of 5308464 is 4648035.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86994 + ... + 87054.

Almost surely, 25308464 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 5308464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8326104).

5308464 is an abundant number, since it is smaller than the sum of its proper divisors (11343744).

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

5308464 is a wasteful number, since it uses less digits than its factorization.

5308464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5308464 is about 2304.0104166431. The cubic root of 5308464 is about 174.4441026975. Note that the first 3 decimals are identical.

The spelling of 5308464 in words is "five million, three hundred eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 49 56 61 74 84 98 111 112 122 147 148 168 183 196 222 244 259 294 296 336 366 392 427 444 488 518 588 592 732 777 784 854 888 976 1036 1176 1281 1464 1554 1708 1776 1813 2072 2257 2352 2562 2928 2989 3108 3416 3626 4144 4514 5124 5439 5978 6216 6771 6832 7252 8967 9028 10248 10878 11956 12432 13542 14504 15799 17934 18056 20496 21756 23912 27084 29008 31598 35868 36112 43512 47397 47824 54168 63196 71736 87024 94794 108336 110593 126392 143472 189588 221186 252784 331779 379176 442372 663558 758352 884744 1327116 1769488 2654232 5308464