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5316864 = 28372343
BaseRepresentation
bin10100010010000100000000
3101000010100220
4110102010000
52330114424
6305543040
763123030
oct24220400
911003326
105316864
113001703
121944a80
131142097
149c58c0
15700579
hex512100

5316864 has 144 divisors (see below), whose sum is σ = 17267712. Its totient is φ = 1419264.

The previous prime is 5316847. The next prime is 5316881. The reversal of 5316864 is 4686135.

It is an interprime number because it is at equal distance from previous prime (5316847) and next prime (5316881).

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 15 ways as a sum of consecutive naturals, for example, 123627 + ... + 123669.

Almost surely, 25316864 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 5316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8633856).

5316864 is an abundant number, since it is smaller than the sum of its proper divisors (11950848).

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

5316864 is a wasteful number, since it uses less digits than its factorization.

5316864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 5316864 is about 2305.8326045054. The cubic root of 5316864 is about 174.5360664142.

The spelling of 5316864 in words is "five million, three hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 43 46 48 56 64 69 84 86 92 96 112 128 129 138 161 168 172 184 192 224 256 258 276 301 322 336 344 368 384 448 483 516 552 602 644 672 688 736 768 896 903 966 989 1032 1104 1204 1288 1344 1376 1472 1792 1806 1932 1978 2064 2208 2408 2576 2688 2752 2944 2967 3612 3864 3956 4128 4416 4816 5152 5376 5504 5888 5934 6923 7224 7728 7912 8256 8832 9632 10304 11008 11868 13846 14448 15456 15824 16512 17664 19264 20608 20769 23736 27692 28896 30912 31648 33024 38528 41216 41538 47472 55384 57792 61824 63296 77056 83076 94944 110768 115584 123648 126592 166152 189888 221536 231168 253184 332304 379776 443072 664608 759552 886144 1329216 1772288 2658432 5316864