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500327424 = 210322332
BaseRepresentation
bin11101110100100…
…110010000000000
31021212110021012100
4131310212100000
52011040434144
6121351430400
715253466352
oct3564462000
91255407170
10500327424
11237470443
1211b685400
137c86b13c
144a63d0d2
152ddd0269
hex1dd26400

500327424 has 99 divisors (see below), whose sum is σ = 1450911553. Its totient is φ = 166060032.

The previous prime is 500327419. The next prime is 500327453. The reversal of 500327424 is 424723005.

The square root of 500327424 is 22368.

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

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 398721024 = 10080^2 + 19968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2147212 + ... + 2147444.

Almost surely, 2500327424 is an apocalyptic number.

500327424 is the 22368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500327424

500327424 is an abundant number, since it is smaller than the sum of its proper divisors (950584129).

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

500327424 is an equidigital number, since it uses as much as digits as its factorization.

500327424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The cubic root of 500327424 is about 793.8737392475.

The spelling of 500327424 in words is "five hundred million, three hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 233 256 288 384 466 512 576 699 768 932 1024 1152 1398 1536 1864 2097 2304 2796 3072 3728 4194 4608 5592 7456 8388 9216 11184 14912 16776 22368 29824 33552 44736 54289 59648 67104 89472 108578 119296 134208 162867 178944 217156 238592 268416 325734 357888 434312 488601 536832 651468 715776 868624 977202 1073664 1302936 1737248 1954404 2147328 2605872 3474496 3908808 5211744 6948992 7817616 10423488 13897984 15635232 20846976 27795968 31270464 41693952 55591936 62540928 83387904 125081856 166775808 250163712 500327424