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414212888 = 231723132421
BaseRepresentation
bin11000101100000…
…110001100011000
31001212102012021002
4120230012030120
51322014303023
6105034004132
713156515515
oct3054061430
91055365232
10414212888
111a28a3301
12b6876648
1367a798ab
143d02430c
152656eb28
hex18b06318

414212888 has 32 divisors (see below), whose sum is σ = 858094560. Its totient is φ = 186447360.

The previous prime is 414212881. The next prime is 414212921. The reversal of 414212888 is 888212414.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414212881) 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 7 ways as a sum of consecutive naturals, for example, 63083 + ... + 69338.

It is an arithmetic number, because the mean of its divisors is an integer number (26815455).

Almost surely, 2414212888 is an apocalyptic number.

It is an amenable number.

414212888 is an abundant number, since it is smaller than the sum of its proper divisors (443881672).

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

414212888 is a wasteful number, since it uses less digits than its factorization.

414212888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132467 (or 132463 counting only the distinct ones).

The product of its digits is 32768, while the sum is 38.

The square root of 414212888 is about 20352.2207142120. The cubic root of 414212888 is about 745.4317201058.

The spelling of 414212888 in words is "four hundred fourteen million, two hundred twelve thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 17 23 34 46 68 92 136 184 391 782 1564 3128 132421 264842 529684 1059368 2251157 3045683 4502314 6091366 9004628 12182732 18009256 24365464 51776611 103553222 207106444 414212888