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491287225 = 52112132312
BaseRepresentation
bin11101010010000…
…111001010111001
31021020102222101011
4131102013022321
52001232142400
6120425553521
715113605162
oct3522071271
91236388334
10491287225
11232356400
121186458a1
137aa24400
1449368769
152d1e68ba
hex1d4872b9

491287225 has 81 divisors (see below), whose sum is σ = 749227437. Its totient is φ = 319176000.

The previous prime is 491287217. The next prime is 491287241. The reversal of 491287225 is 522782194.

The square root of 491287225 is 22165.

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 126630009 + 364657216 = 11253^2 + 19096^2 .

It is not a de Polignac number, because 491287225 - 23 = 491287217 is a prime.

Its product of digits (80640) is a multiple of the sum of its prime divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15847960 + ... + 15847990.

Almost surely, 2491287225 is an apocalyptic number.

491287225 is the 22165-th square number.

491287225 is the 11083-rd centered octagonal number.

It is an amenable number.

491287225 is a deficient number, since it is larger than the sum of its proper divisors (257940212).

491287225 is a wasteful number, since it uses less digits than its factorization.

491287225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 60 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The cubic root of 491287225 is about 789.0632624049.

The spelling of 491287225 in words is "four hundred ninety-one million, two hundred eighty-seven thousand, two hundred twenty-five".

Divisors: 1 5 11 13 25 31 55 65 121 143 155 169 275 325 341 403 605 715 775 845 961 1573 1705 1859 2015 3025 3575 3751 4225 4433 4805 5239 7865 8525 9295 10075 10571 12493 18755 20449 22165 24025 26195 39325 46475 48763 52855 57629 62465 93775 102245 110825 116281 130975 137423 162409 243815 264275 288145 312325 511225 581405 633919 687115 812045 1219075 1440725 1511653 1786499 2907025 3169595 3435575 4060225 7558265 8932495 15847975 19651489 37791325 44662475 98257445 491287225