Search a number
-
+
54501000 = 2335337491
BaseRepresentation
bin1100111111100…
…1111010001000
310210112221022120
43033321322020
5102423013000
65224051240
71231152021
oct317717210
9123487276
1054501000
1128845454
1216303b20
13b3a3018
147349c48
154bb86a0
hex33f9e88

54501000 has 128 divisors (see below), whose sum is σ = 174994560. Its totient is φ = 14112000.

The previous prime is 54500993. The next prime is 54501017. The reversal of 54501000 is 10545.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110755 + ... + 111245.

It is an arithmetic number, because the mean of its divisors is an integer number (1367145).

Almost surely, 254501000 is an apocalyptic number.

54501000 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 54501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87497280).

54501000 is an abundant number, since it is smaller than the sum of its proper divisors (120493560).

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

54501000 is a wasteful number, since it uses less digits than its factorization.

54501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 54501000 is about 7382.4792583522. The cubic root of 54501000 is about 379.1416452246.

Adding to 54501000 its reverse (10545), we get a palindrome (54511545).

The spelling of 54501000 in words is "fifty-four million, five hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 491 500 555 600 740 750 888 925 982 1000 1110 1473 1480 1500 1850 1964 2220 2455 2775 2946 3000 3700 3928 4440 4625 4910 5550 5892 7365 7400 9250 9820 11100 11784 12275 13875 14730 18167 18500 19640 22200 24550 27750 29460 36334 36825 37000 49100 54501 55500 58920 61375 72668 73650 90835 98200 109002 111000 122750 145336 147300 181670 184125 218004 245500 272505 294600 363340 368250 436008 454175 491000 545010 726680 736500 908350 1090020 1362525 1473000 1816700 2180040 2270875 2725050 3633400 4541750 5450100 6812625 9083500 10900200 13625250 18167000 27250500 54501000