Search a number
-
+
5430544000 = 2753748487
BaseRepresentation
bin1010000111010111…
…11000011010000000
3112000110112012220021
411003223320122000
542110204402000
62254511223224
7251400601540
oct50353703200
915013465807
105430544000
1123374450a2
121076817b14
1368710595b
14397337320
1521bb5011a
hex143af8680

5430544000 has 128 divisors (see below), whose sum is σ = 15430821120. Its totient is φ = 1861862400.

The previous prime is 5430543997. The next prime is 5430544043. The reversal of 5430544000 is 4450345.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87757 + ... + 136243.

It is an arithmetic number, because the mean of its divisors is an integer number (120553290).

Almost surely, 25430544000 is an apocalyptic number.

5430544000 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 5430544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7715410560).

5430544000 is an abundant number, since it is smaller than the sum of its proper divisors (10000277120).

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

5430544000 is an equidigital number, since it uses as much as digits as its factorization.

5430544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48523 (or 48501 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 5430544000 is about 73692.2248273181. The cubic root of 5430544000 is about 1757.7122479187.

Adding to 5430544000 its reverse (4450345), we get a palindrome (5434994345).

The spelling of 5430544000 in words is "five billion, four hundred thirty million, five hundred forty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1400 1600 1750 2000 2240 2800 3200 3500 4000 4480 5600 7000 8000 11200 14000 16000 22400 28000 48487 56000 96974 112000 193948 242435 339409 387896 484870 678818 775792 969740 1212175 1357636 1551584 1697045 1939480 2424350 2715272 3103168 3394090 3878960 4848700 5430544 6060875 6206336 6788180 7757920 8485225 9697400 10861088 12121750 13576360 15515840 16970450 19394800 21722176 24243500 27152720 31031680 33940900 38789600 42426125 43444352 48487000 54305440 67881800 77579200 84852250 96974000 108610880 135763600 155158400 169704500 193948000 217221760 271527200 339409000 387896000 543054400 678818000 775792000 1086108800 1357636000 2715272000 5430544000