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470753928 = 233225572
BaseRepresentation
bin11100000011110…
…010001010001000
31012210210202222200
4130003302022020
51431003111203
6114413520200
714444225301
oct3403621210
91183722880
10470753928
11221801437
121117a3060
13766b5328
14467417a8
152b4dc9a3
hex1c0f2288

470753928 has 36 divisors (see below), whose sum is σ = 1275457365. Its totient is φ = 156856608.

The previous prime is 470753917. The next prime is 470753939. The reversal of 470753928 is 829357074.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (470753917) and next prime (470753939).

It can be written as a sum of positive squares in 2 ways, for example, as 468376164 + 2377764 = 21642^2 + 1542^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=15342.

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 8 ways as a sum of consecutive naturals, for example, 182826 + ... + 185382.

Almost surely, 2470753928 is an apocalyptic number.

It is an amenable number.

470753928 is an abundant number, since it is smaller than the sum of its proper divisors (804703437).

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

470753928 is an equidigital number, since it uses as much as digits as its factorization.

470753928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 470753928 is about 21696.8644739280. The cubic root of 470753928 is about 777.9135163789.

The spelling of 470753928 in words is "four hundred seventy million, seven hundred fifty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2557 5114 7671 10228 15342 20456 23013 30684 46026 61368 92052 184104 6538249 13076498 19614747 26152996 39229494 52305992 58844241 78458988 117688482 156917976 235376964 470753928