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42725232 = 24381137
BaseRepresentation
bin1010001011111…
…0111101110000
32222101200000000
42202332331300
541414201412
64123430000
71026105234
oct242767560
988350000
1042725232
1122132110
1212385300
138b0c104
1459625c4
153b3e4dc
hex28bef70

42725232 has 180 divisors, whose sum is σ = 139112376. Its totient is φ = 12597120.

The previous prime is 42725201. The next prime is 42725279. The reversal of 42725232 is 23252724.

42725232 is a `hidden beast` number, since 427 + 2 + 5 + 232 = 666.

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

Its product of digits (6720) is a multiple of the sum of its prime factors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42725196 and 42725205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1154718 + ... + 1154754.

Almost surely, 242725232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42725232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69556188).

42725232 is an abundant number, since it is smaller than the sum of its proper divisors (96387144).

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

42725232 is an equidigital number, since it uses as much as digits as its factorization.

42725232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 53 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 42725232 is about 6536.4540845936. The cubic root of 42725232 is about 349.5919925833.

Adding to 42725232 its reverse (23252724), we get a palindrome (65977956).

The spelling of 42725232 in words is "forty-two million, seven hundred twenty-five thousand, two hundred thirty-two".