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421725213 = 32721373561
BaseRepresentation
bin11001001000110…
…000010000011101
31002101112212020100
4121020300100131
51330430201323
6105503011313
713310414400
oct3110602035
91071485210
10421725213
111a7064438
12b9299b39
13694aa060
144001bd37
1527055943
hex1923041d

421725213 has 36 divisors (see below), whose sum is σ = 763132188. Its totient is φ = 222445440.

The previous prime is 421725211. The next prime is 421725229. The reversal of 421725213 is 312527124.

421725213 is a `hidden beast` number, since 421 + 7 + 25 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50083929 + 371641284 = 7077^2 + 19278^2 .

It is not a de Polignac number, because 421725213 - 21 = 421725211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421725211) 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 35 ways as a sum of consecutive naturals, for example, 31048 + ... + 42513.

Almost surely, 2421725213 is an apocalyptic number.

It is an amenable number.

421725213 is a deficient number, since it is larger than the sum of its proper divisors (341406975).

421725213 is a wasteful number, since it uses less digits than its factorization.

421725213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73594 (or 73584 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 421725213 is about 20535.9492841212. The cubic root of 421725213 is about 749.9112268262.

The spelling of 421725213 in words is "four hundred twenty-one million, seven hundred twenty-five thousand, two hundred thirteen".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 1911 5733 73561 220683 514927 662049 956293 1544781 2868879 3604489 4634343 6694051 8606637 10813467 20082153 32440401 46858357 60246459 140575071 421725213