Search a number
-
+
490664772 = 2232134722307
BaseRepresentation
bin11101001111101…
…111001101000100
31021012021100112100
4131033233031010
52001102233042
6120404352100
715105403353
oct3517571504
91235240470
10490664772
11231a70784
121183a5630
137a866cb0
144924599a
152d12224c
hex1d3ef344

490664772 has 72 divisors (see below), whose sum is σ = 1364178816. Its totient is φ = 147754944.

The previous prime is 490664737. The next prime is 490664821. The reversal of 490664772 is 277466094.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10843 + ... + 33149.

It is an arithmetic number, because the mean of its divisors is an integer number (18946928).

Almost surely, 2490664772 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 490664772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682089408).

490664772 is an abundant number, since it is smaller than the sum of its proper divisors (873514044).

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

490664772 is a wasteful number, since it uses less digits than its factorization.

490664772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22377 (or 22372 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 490664772 is about 22150.9542006659. The cubic root of 490664772 is about 788.7298780869.

The spelling of 490664772 in words is "four hundred ninety million, six hundred sixty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 282 423 468 564 611 846 1222 1692 1833 2444 3666 5499 7332 10998 21996 22307 44614 66921 89228 133842 200763 267684 289991 401526 579982 803052 869973 1048429 1159964 1739946 2096858 2609919 3145287 3479892 4193716 5219838 6290574 9435861 10439676 12581148 13629577 18871722 27259154 37743444 40888731 54518308 81777462 122666193 163554924 245332386 490664772