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463422492 = 22331323113127
BaseRepresentation
bin11011100111110…
…100010000011100
31012022000022011000
4123213310100130
51422114004432
6113552430300
714325011661
oct3347642034
91168008130
10463422492
112186541a5
1210b248390
13750192c0
1445793a68
152aa4057c
hex1b9f441c

463422492 has 192 divisors, whose sum is σ = 1372815360. Its totient is φ = 134120448.

The previous prime is 463422461. The next prime is 463422493. The reversal of 463422492 is 294224364.

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

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 (463422493) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3648933 + ... + 3649059.

It is an arithmetic number, because the mean of its divisors is an integer number (7150080).

Almost surely, 2463422492 is an apocalyptic number.

463422492 is the 10764-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463422492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686407680).

463422492 is an abundant number, since it is smaller than the sum of its proper divisors (909392868).

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

463422492 is a wasteful number, since it uses less digits than its factorization.

463422492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 463422492 is about 21527.2499869352. The cubic root of 463422492 is about 773.8540076788.

The spelling of 463422492 in words is "four hundred sixty-three million, four hundred twenty-two thousand, four hundred ninety-two".