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42232320 = 293351347
BaseRepresentation
bin1010000100011…
…0101000000000
32221110121212000
42201012220000
541302413240
64105104000
71021653204
oct241065000
987417760
1042232320
1121925849
1212188000
138998950
145874b04
153a93430
hex2846a00

42232320 has 320 divisors, whose sum is σ = 164989440. Its totient is φ = 10174464.

The previous prime is 42232279. The next prime is 42232327. The reversal of 42232320 is 2323224.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42232293 and 42232302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42232327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898537 + ... + 898583.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 242232320 is an apocalyptic number.

42232320 is a gapful number since it is divisible by the number (40) 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 42232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

42232320 is an abundant number, since it is smaller than the sum of its proper divisors (122757120).

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

42232320 is a wasteful number, since it uses less digits than its factorization.

42232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42232320 is about 6498.6398576933. The cubic root of 42232320 is about 348.2423994884.

Adding to 42232320 its reverse (2323224), we get a palindrome (44555544).

The spelling of 42232320 in words is "forty-two million, two hundred thirty-two thousand, three hundred twenty".