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472585000 = 2354472011
BaseRepresentation
bin11100001010110…
…001001100101000
31012221020210202011
4130022301030220
51431440210000
6114521045304
714465622556
oct3412611450
91187223664
10472585000
11222842118
12112326834
1376ba68c4
1446a9abd6
152b7502ba
hex1c2b1328

472585000 has 80 divisors (see below), whose sum is σ = 1131387840. Its totient is φ = 184920000.

The previous prime is 472584949. The next prime is 472585013. The reversal of 472585000 is 585274.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 233995 + ... + 236005.

It is an arithmetic number, because the mean of its divisors is an integer number (14142348).

Almost surely, 2472585000 is an apocalyptic number.

472585000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472585000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565693920).

472585000 is an abundant number, since it is smaller than the sum of its proper divisors (658802840).

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

472585000 is a wasteful number, since it uses less digits than its factorization.

472585000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 472585000 is about 21739.0202171119. The cubic root of 472585000 is about 778.9208174507.

The spelling of 472585000 in words is "four hundred seventy-two million, five hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 625 940 1000 1175 1250 1880 2011 2350 2500 4022 4700 5000 5875 8044 9400 10055 11750 16088 20110 23500 29375 40220 47000 50275 58750 80440 94517 100550 117500 189034 201100 235000 251375 378068 402200 472585 502750 756136 945170 1005500 1256875 1890340 2011000 2362925 2513750 3780680 4725850 5027500 9451700 10055000 11814625 18903400 23629250 47258500 59073125 94517000 118146250 236292500 472585000