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500285952 = 2932151719
BaseRepresentation
bin11101110100011…
…100001000000000
31021212101011022100
4131310130020000
52011033122302
6121350510400
715253234425
oct3564341000
91255334270
10500285952
11237442271
1211b665400
137c8552ba
144a62bd4c
152ddc2d1c
hex1dd1c200

500285952 has 120 divisors (see below), whose sum is σ = 1455442560. Its totient is φ = 165427200.

The previous prime is 500285909. The next prime is 500285969. The reversal of 500285952 is 259582005.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 695449 + ... + 696167.

It is an arithmetic number, because the mean of its divisors is an integer number (12128688).

Almost surely, 2500285952 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 500285952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727721280).

500285952 is an abundant number, since it is smaller than the sum of its proper divisors (955156608).

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

500285952 is a wasteful number, since it uses less digits than its factorization.

500285952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 500285952 is about 22367.0729421621. The cubic root of 500285952 is about 793.8518039841.

The spelling of 500285952 in words is "five hundred million, two hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 151 192 256 288 302 384 453 512 576 604 719 768 906 1152 1208 1359 1438 1536 1812 2157 2304 2416 2718 2876 3624 4314 4608 4832 5436 5752 6471 7248 8628 9664 10872 11504 12942 14496 17256 19328 21744 23008 25884 28992 34512 38656 43488 46016 51768 57984 69024 77312 86976 92032 103536 108569 115968 138048 173952 184064 207072 217138 231936 276096 325707 347904 368128 414144 434276 552192 651414 695808 828288 868552 977121 1104384 1302828 1656576 1737104 1954242 2605656 3313152 3474208 3908484 5211312 6948416 7816968 10422624 13896832 15633936 20845248 27793664 31267872 41690496 55587328 62535744 83380992 125071488 166761984 250142976 500285952