Search a number
-
+
5430625000 = 23578689
BaseRepresentation
bin1010000111011000…
…01100001011101000
3112000110200100000021
411003230030023220
542110220000000
62254513050224
7251401356643
oct50354141350
915013610007
105430625000
11233749aa39
121076856974
13687133798
14397358a5a
1521bb6911a
hex143b0c2e8

5430625000 has 64 divisors (see below), whose sum is σ = 12729459600. Its totient is φ = 2172000000.

The previous prime is 5430624989. The next prime is 5430625009. The reversal of 5430625000 is 5260345.

It can be written as a sum of positive squares in 8 ways, for example, as 4090625764 + 1339999236 = 63958^2 + 36606^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5430625009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 620656 + ... + 629344.

Almost surely, 25430625000 is an apocalyptic number.

5430625000 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 5430625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364729800).

5430625000 is an abundant number, since it is smaller than the sum of its proper divisors (7298834600).

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

5430625000 is an frugal number, since it uses more digits than its factorization.

5430625000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8730 (or 8696 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 5430625000 is about 73692.7744083502. The cubic root of 5430625000 is about 1757.7209870054.

Adding to 5430625000 its reverse (5260345), we get a palindrome (5435885345).

The spelling of 5430625000 in words is "five billion, four hundred thirty million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 8689 12500 15625 17378 25000 31250 34756 43445 62500 69512 78125 86890 125000 156250 173780 217225 312500 347560 434450 625000 868900 1086125 1737800 2172250 4344500 5430625 8689000 10861250 21722500 27153125 43445000 54306250 108612500 135765625 217225000 271531250 543062500 678828125 1086125000 1357656250 2715312500 5430625000