Search a number
-
+
55923840 = 2732571973
BaseRepresentation
bin1101010101010…
…1010010000000
310220020020002100
43111111102000
5103304030330
65314350400
71246226160
oct325252200
9126206070
1055923840
1129627455
121688b400
13b78083b
1475da5a0
154d9a060
hex3555480

55923840 has 384 divisors, whose sum is σ = 235497600. Its totient is φ = 11943936.

The previous prime is 55923781. The next prime is 55923841. The reversal of 55923840 is 4832955.

55923840 is a `hidden beast` number, since 559 + 23 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55923795 and 55923804.

It is not an unprimeable number, because it can be changed into a prime (55923841) 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, 766044 + ... + 766116.

It is an arithmetic number, because the mean of its divisors is an integer number (613275).

Almost surely, 255923840 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 55923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117748800).

55923840 is an abundant number, since it is smaller than the sum of its proper divisors (179573760).

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

55923840 is a wasteful number, since it uses less digits than its factorization.

55923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 55923840 is about 7478.2243881820. The cubic root of 55923840 is about 382.4127187754.

The spelling of 55923840 in words is "fifty-five million, nine hundred twenty-three thousand, eight hundred forty".