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405213512 = 231126472
BaseRepresentation
bin11000001001110…
…001000101001000
31001020110222102212
4120021301011020
51312213313022
6104113044252
713020154334
oct3011610510
91036428385
10405213512
11198806a00
12b3856688
1365c48612
143bb607c4
15258933e2
hex18271148

405213512 has 36 divisors (see below), whose sum is σ = 836417715. Its totient is φ = 183903280.

The previous prime is 405213511. The next prime is 405213527. The reversal of 405213512 is 215312504.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 202606756 + 202606756 = 14234^2 + 14234^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=14234.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (405213511) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 625973 + ... + 626619.

Almost surely, 2405213512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405213512

405213512 is an abundant number, since it is smaller than the sum of its proper divisors (431204203).

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

405213512 is an equidigital number, since it uses as much as digits as its factorization.

405213512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 405213512 is about 20129.9158468186. The cubic root of 405213512 is about 739.9936157229.

The spelling of 405213512 in words is "four hundred five million, two hundred thirteen thousand, five hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 647 968 1294 2588 5176 7117 14234 28468 56936 78287 156574 313148 418609 626296 837218 1674436 3348872 4604699 9209398 18418796 36837592 50651689 101303378 202606756 405213512