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470900096 = 2725114657
BaseRepresentation
bin11100000100010…
…101110110000000
31012211002012111022
4130010111312000
51431022300341
6114421005012
714445404402
oct3404256600
91184065438
10470900096
112218a1237
12111853768
1376736a14
144677cb72
152b51ae4b
hex1c115d80

470900096 has 32 divisors (see below), whose sum is σ = 941923080. Its totient is φ = 234496000.

The previous prime is 470900093. The next prime is 470900113. The reversal of 470900096 is 690009074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470900093) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 24800 + ... + 39456.

Almost surely, 2470900096 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 470900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470961540).

470900096 is an abundant number, since it is smaller than the sum of its proper divisors (471022984).

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

470900096 is a wasteful number, since it uses less digits than its factorization.

470900096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14922 (or 14910 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 470900096 is about 21700.2326254812. The cubic root of 470900096 is about 777.9940214933.

The spelling of 470900096 in words is "four hundred seventy million, nine hundred thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 251 502 1004 2008 4016 8032 14657 16064 29314 32128 58628 117256 234512 469024 938048 1876096 3678907 7357814 14715628 29431256 58862512 117725024 235450048 470900096