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407047221 = 3374152529
BaseRepresentation
bin11000010000110…
…000110000110101
31001100221010211000
4120100300300311
51313201002341
6104220233513
713041562410
oct3020606065
91040833730
10407047221
11199849669
12b439b899
136643b159
143c0bab77
1525b068b6
hex18430c35

407047221 has 32 divisors (see below), whose sum is σ = 706003200. Its totient is φ = 226920960.

The previous prime is 407047163. The next prime is 407047231. The reversal of 407047221 is 122740704.

It is a happy number.

It is not a de Polignac number, because 407047221 - 211 = 407045173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407047231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18516 + ... + 34013.

It is an arithmetic number, because the mean of its divisors is an integer number (22062600).

Almost surely, 2407047221 is an apocalyptic number.

407047221 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

407047221 is a deficient number, since it is larger than the sum of its proper divisors (298955979).

407047221 is a wasteful number, since it uses less digits than its factorization.

407047221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52586 (or 52580 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 407047221 is about 20175.4112969228. The cubic root of 407047221 is about 741.1081649704.

Adding to 407047221 its reverse (122740704), we get a palindrome (529787925).

The spelling of 407047221 in words is "four hundred seven million, forty-seven thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 41 63 123 189 287 369 861 1107 2583 7749 52529 157587 367703 472761 1103109 1418283 2153689 3309327 6461067 9927981 15075823 19383201 45227469 58149603 135682407 407047221