Search a number
-
+
54525000 = 23355727
BaseRepresentation
bin1100111111111…
…1110001001000
310210121011020110
43033333301020
5102424300000
65224354320
71231312005
oct317776110
9123534213
1054525000
1128861492
12163159a0
13b3b0c1a
1473548ac
154bc0850
hex33ffc48

54525000 has 96 divisors (see below), whose sum is σ = 170614080. Its totient is φ = 14520000.

The previous prime is 54524993. The next prime is 54525067. The reversal of 54525000 is 52545.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74637 + ... + 75363.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 254525000 is an apocalyptic number.

54525000 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 54525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

54525000 is an abundant number, since it is smaller than the sum of its proper divisors (116089080).

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

54525000 is an equidigital number, since it uses as much as digits as its factorization.

54525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 54525000 is about 7384.1045496390. The cubic root of 54525000 is about 379.1972898558.

Adding to 54525000 its reverse (52545), we get a palindrome (54577545).

The spelling of 54525000 in words is "fifty-four million, five hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 727 750 1000 1250 1454 1500 1875 2181 2500 2908 3000 3125 3635 3750 4362 5000 5816 6250 7270 7500 8724 9375 10905 12500 14540 15000 17448 18175 18750 21810 25000 29080 36350 37500 43620 54525 72700 75000 87240 90875 109050 145400 181750 218100 272625 363500 436200 454375 545250 727000 908750 1090500 1363125 1817500 2181000 2271875 2726250 3635000 4543750 5452500 6815625 9087500 10905000 13631250 18175000 27262500 54525000