Search a number
-
+
946189664 = 25719211701
BaseRepresentation
bin111000011001011…
…011010101100000
32102221102102012122
4320121123111200
53414211032124
6233520043412
732306323310
oct7031332540
92387372178
10946189664
11446110332
12224a63568
13121049654
148d941440
155810275e
hex3865b560

946189664 has 72 divisors (see below), whose sum is σ = 2247064848. Its totient is φ = 384134400.

The previous prime is 946189661. The next prime is 946189681. The reversal of 946189664 is 466981649.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946189661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75014 + ... + 86714.

It is an arithmetic number, because the mean of its divisors is an integer number (31209234).

Almost surely, 2946189664 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 946189664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123532424).

946189664 is an abundant number, since it is smaller than the sum of its proper divisors (1300875184).

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

946189664 is a wasteful number, since it uses less digits than its factorization.

946189664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11756 (or 11729 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 53.

The square root of 946189664 is about 30760.1960982046. The cubic root of 946189664 is about 981.7315161229.

The spelling of 946189664 in words is "nine hundred forty-six million, one hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 361 532 608 722 1064 1444 2128 2527 2888 4256 5054 5776 10108 11552 11701 20216 23402 40432 46804 80864 81907 93608 163814 187216 222319 327628 374432 444638 655256 889276 1310512 1556233 1778552 2621024 3112466 3557104 4224061 6224932 7114208 8448122 12449864 16896244 24899728 29568427 33792488 49799456 59136854 67584976 118273708 135169952 236547416 473094832 946189664