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946485225 = 3252722932
BaseRepresentation
bin111000011010100…
…011011111101001
32102221222102122100
4320122203133221
53414300011400
6233530244013
732311664100
oct7032433751
92387872570
10946485225
114462a23a4
12224b86609
1312112103a
148d9bb037
1558160100
hex386a37e9

946485225 has 81 divisors (see below), whose sum is σ = 1978790853. Its totient is φ = 431202240.

The previous prime is 946485203. The next prime is 946485227. The reversal of 946485225 is 522584649.

The square root of 946485225 is 30765.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 149891049 + 796594176 = 12243^2 + 28224^2 .

It is not a de Polignac number, because 946485225 - 213 = 946477033 is a prime.

It is a super-2 number, since 2×9464852252 = 1791668562286601250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (946485227) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 3230179 + ... + 3230471.

Almost surely, 2946485225 is an apocalyptic number.

946485225 is the 30765-th square number.

946485225 is the 15383-rd centered octagonal number.

It is an amenable number.

946485225 is an abundant number, since it is smaller than the sum of its proper divisors (1032305628).

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

946485225 is a wasteful number, since it uses less digits than its factorization.

946485225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 308 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The cubic root of 946485225 is about 981.8337265473.

The spelling of 946485225 in words is "nine hundred forty-six million, four hundred eighty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 293 315 441 525 735 879 1225 1465 1575 2051 2205 2637 3675 4395 6153 7325 10255 11025 13185 14357 18459 21975 30765 43071 51275 65925 71785 85849 92295 129213 153825 215355 257547 358925 429245 461475 600943 646065 772641 1076775 1287735 1802829 2146225 3004715 3230325 3863205 4206601 5408487 6438675 9014145 12619803 15023575 19316025 21033005 27042435 37859409 45070725 63099015 105165025 135212175 189297045 315495075 946485225