Search a number
-
+
55723500 = 22325372961
BaseRepresentation
bin1101010010010…
…0010111101100
310212212001021100
43110210113230
5103231123000
65310203100
71244433120
oct324442754
9125761240
1055723500
11294aa988
12167b3490
13b7105b1
147587580
154d5aa00
hex35245ec

55723500 has 288 divisors, whose sum is σ = 211236480. Its totient is φ = 12096000.

The previous prime is 55723489. The next prime is 55723513. The reversal of 55723500 is 532755.

55723500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 913470 + ... + 913530.

It is an arithmetic number, because the mean of its divisors is an integer number (733460).

Almost surely, 255723500 is an apocalyptic number.

55723500 is a gapful number since it is divisible by the number (50) 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 55723500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105618240).

55723500 is an abundant number, since it is smaller than the sum of its proper divisors (155512980).

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

55723500 is a wasteful number, since it uses less digits than its factorization.

55723500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 55723500 is about 7464.8174793494. The cubic root of 55723500 is about 381.9555241842.

The spelling of 55723500 in words is "fifty-five million, seven hundred twenty-three thousand, five hundred".