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42231672 = 23337173153
BaseRepresentation
bin1010000100011…
…0011101111000
32221110120222000
42201012131320
541302403142
64105101000
71021651260
oct241063570
987416860
1042231672
112192530a
1212187760
138998572
1458747a0
153a9314c
hex2846778

42231672 has 256 divisors, whose sum is σ = 149299200. Its totient is φ = 10782720.

The previous prime is 42231671. The next prime is 42231677. The reversal of 42231672 is 27613224.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (42231671) 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, 796798 + ... + 796850.

It is an arithmetic number, because the mean of its divisors is an integer number (583200).

Almost surely, 242231672 is an apocalyptic number.

42231672 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 42231672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74649600).

42231672 is an abundant number, since it is smaller than the sum of its proper divisors (107067528).

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

42231672 is a wasteful number, since it uses less digits than its factorization.

42231672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 42231672 is about 6498.5900009156. The cubic root of 42231672 is about 348.2406183704.

Adding to 42231672 its reverse (27613224), we get a palindrome (69844896).

The spelling of 42231672 in words is "forty-two million, two hundred thirty-one thousand, six hundred seventy-two".