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473081408 = 262937832
BaseRepresentation
bin11100001100101…
…010011001000000
31012222012000200122
4130030222121000
51432102101113
6114535435412
714503061042
oct3414523100
91188160618
10473081408
11223051078
12112525b68
137701b837
1446b89a92
152b7ec408
hex1c32a640

473081408 has 84 divisors (see below), whose sum is σ = 1009550940. Its totient is φ = 219534336.

The previous prime is 473081387. The next prime is 473081417. The reversal of 473081408 is 804180374.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 345662464 + 127418944 = 18592^2 + 11288^2 .

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 11 ways as a sum of consecutive naturals, for example, 5699735 + ... + 5699817.

Almost surely, 2473081408 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 473081408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504775470).

473081408 is an abundant number, since it is smaller than the sum of its proper divisors (536469532).

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

473081408 is an equidigital number, since it uses as much as digits as its factorization.

473081408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 473081408 is about 21750.4346623234. The cubic root of 473081408 is about 779.1934507473.

The spelling of 473081408 in words is "four hundred seventy-three million, eighty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 29 32 37 58 64 74 83 116 148 166 232 296 332 464 592 664 928 1073 1184 1328 1856 2146 2368 2407 2656 3071 4292 4814 5312 6142 6889 8584 9628 12284 13778 17168 19256 24568 27556 34336 38512 49136 55112 68672 77024 89059 98272 110224 154048 178118 196544 199781 220448 254893 356236 399562 440896 509786 712472 799124 1019572 1424944 1598248 2039144 2849888 3196496 4078288 5699776 6392992 7391897 8156576 12785984 14783794 16313152 29567588 59135176 118270352 236540704 473081408