Search a number
-
+
470049664 = 2771927611
BaseRepresentation
bin11100000001000…
…110001110000000
31012202110222220211
4130001012032000
51430313042124
6114350443504
714435233120
oct3401061600
91182428824
10470049664
112213702a7
12111503594
13764c98c6
14465dac80
152b3ede94
hex1c046380

470049664 has 64 divisors (see below), whose sum is σ = 1126569600. Its totient is φ = 190840320.

The previous prime is 470049647. The next prime is 470049691. The reversal of 470049664 is 466940074.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3219 + ... + 30829.

It is an arithmetic number, because the mean of its divisors is an integer number (17602650).

Almost surely, 2470049664 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 470049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563284800).

470049664 is an abundant number, since it is smaller than the sum of its proper divisors (656519936).

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

470049664 is a wasteful number, since it uses less digits than its factorization.

470049664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27651 (or 27639 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 470049664 is about 21680.6287731698. The cubic root of 470049664 is about 777.5253943450.

The spelling of 470049664 in words is "four hundred seventy million, forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 4256 8512 17024 27611 55222 110444 193277 220888 386554 441776 524609 773108 883552 1049218 1546216 1767104 2098436 3092432 3534208 3672263 4196872 6184864 7344526 8393744 12369728 14689052 16787488 24739456 29378104 33574976 58756208 67149952 117512416 235024832 470049664