Search a number
-
+
42723000 = 23325347101
BaseRepresentation
bin1010001011111…
…0011010111000
32222101112221100
42202332122320
541414114000
64123411400
71026065565
oct242763270
988345840
1042723000
1122130471
1212383b60
138b0b0a8
14596186c
153b3da00
hex28be6b8

42723000 has 192 divisors, whose sum is σ = 148936320. Its totient is φ = 11040000.

The previous prime is 42722993. The next prime is 42723007. The reversal of 42723000 is 32724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42722993) and next prime (42723007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42723007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422950 + ... + 423050.

It is an arithmetic number, because the mean of its divisors is an integer number (775710).

Almost surely, 242723000 is an apocalyptic number.

42723000 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 42723000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74468160).

42723000 is an abundant number, since it is smaller than the sum of its proper divisors (106213320).

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

42723000 is a wasteful number, since it uses less digits than its factorization.

42723000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 42723000 is about 6536.2833475914. The cubic root of 42723000 is about 349.5859048230.

Adding to 42723000 its reverse (32724), we get a palindrome (42755724).

The spelling of 42723000 in words is "forty-two million, seven hundred twenty-three thousand".