Search a number
-
+
470250912 = 25319283911
BaseRepresentation
bin11100000001110…
…111010110100000
31012202212012222110
4130001313112200
51430341012122
6114355035320
714440031625
oct3401672640
91182765873
10470250912
1122149851a
1211159bb40
137656a3a1
144665034c
152b43d90c
hex1c0775a0

470250912 has 96 divisors (see below), whose sum is σ = 1305400320. Its totient is φ = 147813120.

The previous prime is 470250899. The next prime is 470250917. The reversal of 470250912 is 219052074.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4702509122 = 442271840473663488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 470250912.

It is not an unprimeable number, because it can be changed into a prime (470250917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515737 + ... + 516647.

It is an arithmetic number, because the mean of its divisors is an integer number (13597920).

Almost surely, 2470250912 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 470250912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652700160).

470250912 is an abundant number, since it is smaller than the sum of its proper divisors (835149408).

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

470250912 is a wasteful number, since it uses less digits than its factorization.

470250912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 470250912 is about 21685.2694703109. The cubic root of 470250912 is about 777.6363422700.

The spelling of 470250912 in words is "four hundred seventy million, two hundred fifty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 283 304 456 566 608 849 911 912 1132 1698 1822 1824 2264 2733 3396 3644 4528 5377 5466 6792 7288 9056 10754 10932 13584 14576 16131 17309 21508 21864 27168 29152 32262 34618 43016 43728 51927 64524 69236 86032 87456 103854 129048 138472 172064 207708 257813 258096 276944 415416 515626 516192 553888 773439 830832 1031252 1546878 1661664 2062504 3093756 4125008 4898447 6187512 8250016 9796894 12375024 14695341 19593788 24750048 29390682 39187576 58781364 78375152 117562728 156750304 235125456 470250912