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423048192 = 21037103191
BaseRepresentation
bin11001001101110…
…011010000000000
31002111001002000120
4121031303100000
51331300020232
6105551220240
713324564440
oct3115632000
91074032016
10423048192
111a7888406
12b9817680
1369851298
1440284120
152721792c
hex19373400

423048192 has 176 divisors, whose sum is σ = 1307983872. Its totient is φ = 119070720.

The previous prime is 423048187. The next prime is 423048211. The reversal of 423048192 is 291840324.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2214817 + ... + 2215007.

Almost surely, 2423048192 is an apocalyptic number.

423048192 is a gapful number since it is divisible by the number (42) 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 423048192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653991936).

423048192 is an abundant number, since it is smaller than the sum of its proper divisors (884935680).

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

423048192 is a wasteful number, since it uses less digits than its factorization.

423048192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 423048192 is about 20568.1353554473. The cubic root of 423048192 is about 750.6945814325.

It can be divided in two parts, 42 and 3048192, that multiplied together give a cube (128024064 = 5043).

The spelling of 423048192 in words is "four hundred twenty-three million, forty-eight thousand, one hundred ninety-two".