Search a number
-
+
470476431 = 352384179
BaseRepresentation
bin11100000010101…
…110011010001111
31012210021200100000
4130002232122033
51430420221211
6114403535343
714441661255
oct3402563217
91183250300
10470476431
112216319a7
1211168a553
1376618c29
14466ac5d5
152b485656
hex1c0ae68f

470476431 has 24 divisors (see below), whose sum is σ = 735396480. Its totient is φ = 300010392.

The previous prime is 470476417. The next prime is 470476451. The reversal of 470476431 is 134674074.

It is a happy number.

470476431 is a `hidden beast` number, since 4 + 7 + 0 + 4 + 7 + 643 + 1 = 666.

It is not a de Polignac number, because 470476431 - 25 = 470476399 is a prime.

It is a super-2 number, since 2×4704764312 = 442696144252995522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470476451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36501 + ... + 47678.

It is an arithmetic number, because the mean of its divisors is an integer number (30641520).

Almost surely, 2470476431 is an apocalyptic number.

470476431 is a deficient number, since it is larger than the sum of its proper divisors (264920049).

470476431 is an equidigital number, since it uses as much as digits as its factorization.

470476431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84217 (or 84205 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 470476431 is about 21690.4686671358. The cubic root of 470476431 is about 777.7606331814.

The spelling of 470476431 in words is "four hundred seventy million, four hundred seventy-six thousand, four hundred thirty-one".

Divisors: 1 3 9 23 27 69 81 207 243 621 1863 5589 84179 252537 757611 1936117 2272833 5808351 6818499 17425053 20455497 52275159 156825477 470476431