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413946225 = 325271123893
BaseRepresentation
bin11000101011000…
…101000101110001
31001211220122110200
4120223011011301
51321432234400
6105024145413
713154325210
oct3053050561
91054818420
10413946225
111a2730a20
12b6768269
13679b53c4
143cd95077
152651ab00
hex18ac5171

413946225 has 72 divisors (see below), whose sum is σ = 924411072. Its totient is φ = 172022400.

The previous prime is 413946223. The next prime is 413946229. The reversal of 413946225 is 522649314.

It is a happy number.

413946225 is a `hidden beast` number, since 41 + 394 + 6 + 225 = 666.

It is not a de Polignac number, because 413946225 - 21 = 413946223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413946225.

It is not an unprimeable number, because it can be changed into a prime (413946223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5379 + ... + 29271.

Almost surely, 2413946225 is an apocalyptic number.

413946225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413946225 is an abundant number, since it is smaller than the sum of its proper divisors (510464847).

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

413946225 is a wasteful number, since it uses less digits than its factorization.

413946225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23927 (or 23919 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 413946225 is about 20345.6684579298. The cubic root of 413946225 is about 745.2717204723.

The spelling of 413946225 in words is "four hundred thirteen million, nine hundred forty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 275 315 385 495 525 693 825 1155 1575 1925 2475 3465 5775 17325 23893 71679 119465 167251 215037 262823 358395 501753 597325 788469 836255 1075185 1314115 1505259 1791975 1839761 2365407 2508765 3942345 4181275 5375925 5519283 6570575 7526295 9198805 11827035 12543825 16557849 19711725 27596415 37631475 45994025 59135175 82789245 137982075 413946225