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473013760 = 295434297
BaseRepresentation
bin11100001100011…
…001111000000000
31012222001120220011
4130030121320000
51432042420020
6114534154304
714502356602
oct3414317000
91188046804
10473013760
1122300526a
121124b2994
1376cc6acb
1446b6d172
152b7d735a
hex1c319e00

473013760 has 80 divisors (see below), whose sum is σ = 1160769456. Its totient is φ = 184762368.

The previous prime is 473013731. The next prime is 473013773. The reversal of 473013760 is 67310374.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 107932 + ... + 112228.

Almost surely, 2473013760 is an apocalyptic number.

473013760 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 473013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580384728).

473013760 is an abundant number, since it is smaller than the sum of its proper divisors (687755696).

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

473013760 is an equidigital number, since it uses as much as digits as its factorization.

473013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363 (or 4347 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 473013760 is about 21748.8795113679. The cubic root of 473013760 is about 779.1563088725.

The spelling of 473013760 in words is "four hundred seventy-three million, thirteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 512 640 688 860 1280 1376 1720 2560 2752 3440 4297 5504 6880 8594 11008 13760 17188 21485 22016 27520 34376 42970 55040 68752 85940 110080 137504 171880 184771 275008 343760 369542 550016 687520 739084 923855 1100032 1375040 1478168 1847710 2200064 2750080 2956336 3695420 5500160 5912672 7390840 11000320 11825344 14781680 23650688 29563360 47301376 59126720 94602752 118253440 236506880 473013760