Search a number
-
+
403407225 = 32521321032
BaseRepresentation
bin11000000010111…
…000000101111001
31001010002012200100
4120002320011321
51311233012400
6104010230013
712665622234
oct3002700571
91033065610
10403407225
11197792901
12b3125309
1365765400
143b81041b
1525638100
hex180b8179

403407225 has 81 divisors (see below), whose sum is σ = 790073037. Its totient is φ = 196672320.

The previous prime is 403407217. The next prime is 403407239. The reversal of 403407225 is 522704304.

The square root of 403407225 is 20085.

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 103978809 + 299428416 = 10197^2 + 17304^2 .

It is not a de Polignac number, because 403407225 - 23 = 403407217 is a prime.

It is a Curzon number.

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, 3916524 + ... + 3916626.

Almost surely, 2403407225 is an apocalyptic number.

403407225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

403407225 is the 20085-th square number.

403407225 is the 10043-rd centered octagonal number.

It is an amenable number.

403407225 is a deficient number, since it is larger than the sum of its proper divisors (386665812).

403407225 is a wasteful number, since it uses less digits than its factorization.

403407225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The cubic root of 403407225 is about 738.8924416342.

The spelling of 403407225 in words is "four hundred three million, four hundred seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 103 117 169 195 225 309 325 507 515 585 845 927 975 1339 1521 1545 2535 2575 2925 4017 4225 4635 6695 7605 7725 10609 12051 12675 17407 20085 23175 31827 33475 38025 52221 53045 60255 87035 95481 100425 137917 156663 159135 261105 265225 301275 413751 435175 477405 689585 783315 795675 1241253 1305525 1792921 2068755 2387025 3447925 3916575 5378763 6206265 8964605 10343775 16136289 26893815 31031325 44823025 80681445 134469075 403407225