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472000 = 265359
BaseRepresentation
bin1110011001111000000
3212222110111
41303033000
5110101000
614041104
74004044
oct1631700
9788414
10472000
112a2691
121a9194
13136ab9
14c4024
1594cba
hex733c0

472000 has 56 divisors (see below), whose sum is σ = 1188720. Its totient is φ = 185600.

The previous prime is 471997. The next prime is 472019. The reversal of 472000 is 274.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7971 + ... + 8029.

2472000 is an apocalyptic number.

472000 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 472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594360).

472000 is an abundant number, since it is smaller than the sum of its proper divisors (716720).

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

472000 is an equidigital number, since it uses as much as digits as its factorization.

472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 472000 is about 687.0225614927. The cubic root of 472000 is about 77.8599283175.

Adding to 472000 its reverse (274), we get a palindrome (472274).

The spelling of 472000 in words is "four hundred seventy-two thousand", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 125 160 200 236 250 295 320 400 472 500 590 800 944 1000 1180 1475 1600 1888 2000 2360 2950 3776 4000 4720 5900 7375 8000 9440 11800 14750 18880 23600 29500 47200 59000 94400 118000 236000 472000