Search a number
-
+
54515000 = 235410903
BaseRepresentation
bin1100111111110…
…1010100111000
310210120122112002
43033331110320
5102423440000
65224240132
71231240601
oct317752470
9123518462
1054515000
1128854a21
1216310048
13b3a94c7
147350da8
154bbc8d5
hex33fd538

54515000 has 40 divisors (see below), whose sum is σ = 127740360. Its totient is φ = 21804000.

The previous prime is 54514969. The next prime is 54515003. The reversal of 54515000 is 51545.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54515003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 452 + ... + 10451.

It is an arithmetic number, because the mean of its divisors is an integer number (3193509).

Almost surely, 254515000 is an apocalyptic number.

54515000 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 54515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63870180).

54515000 is an abundant number, since it is smaller than the sum of its proper divisors (73225360).

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

54515000 is a wasteful number, since it uses less digits than its factorization.

54515000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10929 (or 10910 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 54515000 is about 7383.4273884152. The cubic root of 54515000 is about 379.1741065776.

Adding to 54515000 its reverse (51545), we get a palindrome (54566545).

The spelling of 54515000 in words is "fifty-four million, five hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 10903 21806 43612 54515 87224 109030 218060 272575 436120 545150 1090300 1362875 2180600 2725750 5451500 6814375 10903000 13628750 27257500 54515000