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5308416 = 21634
BaseRepresentation
bin10100010000000000000000
3100222200210000
4110100000000
52324332131
6305440000
763056301
oct24200000
910880700
105308416
112aa6323
121940000
13113b299
149c27a8
156ecce6
hex510000

5308416 has 85 divisors (see below), whose sum is σ = 15859591. Its totient is φ = 1769472.

The previous prime is 5308379. The next prime is 5308417. The reversal of 5308416 is 6148035.

The square root of 5308416 is 2304.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)4 ⋅ (2!)4.

5308416 is nontrivially palindromic in base 15.

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

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 5308416.

It is not an unprimeable number, because it can be changed into a prime (5308417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 1769471 + 1769472 + 1769473.

Almost surely, 25308416 is an apocalyptic number.

5308416 is the 2304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5308416

5308416 is an abundant number, since it is smaller than the sum of its proper divisors (10551175).

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

5308416 is an frugal number, since it uses more digits than its factorization.

5308416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 5308416 is about 174.4435769119.

The spelling of 5308416 in words is "five million, three hundred eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 8192 9216 10368 12288 13824 16384 18432 20736 24576 27648 32768 36864 41472 49152 55296 65536 73728 82944 98304 110592 147456 165888 196608 221184 294912 331776 442368 589824 663552 884736 1327104 1769472 2654208 5308416