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247055292 = 2233112971101
BaseRepresentation
bin11101011100111…
…00001110111100
3122012212201011000
432232130032330
51001221232132
640303130300
76056635551
oct1656341674
9565781130
10247055292
11117502330
126a8a3990
133c251283
1424b50a28
1516a5187c
hexeb9c3bc

247055292 has 192 divisors, whose sum is σ = 740275200. Its totient is φ = 70560000.

The previous prime is 247055273. The next prime is 247055293. The reversal of 247055292 is 292550742.

It is a happy number.

247055292 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2470552922 = 122072634610410528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247055293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2446042 + ... + 2446142.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2247055292 is an apocalyptic number.

247055292 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247055292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370137600).

247055292 is an abundant number, since it is smaller than the sum of its proper divisors (493219908).

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

247055292 is a wasteful number, since it uses less digits than its factorization.

247055292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 247055292 is about 15717.9926199245. The cubic root of 247055292 is about 627.4773499123.

The spelling of 247055292 in words is "two hundred forty-seven million, fifty-five thousand, two hundred ninety-two".