Search a number
-
+
3025405000 = 23541735593
BaseRepresentation
bin1011010001010100…
…0000010001001000
321210211211111110001
42310111000101020
522144000430000
61220112532344
7134654342512
oct26425002110
97724744401
103025405000
111312842612
127052510b4
13392a3ab97
14209b3abb2
1512a91146a
hexb4540448

3025405000 has 80 divisors (see below), whose sum is σ = 7505706780. Its totient is φ = 1138944000.

The previous prime is 3025404973. The next prime is 3025405001. The reversal of 3025405000 is 5045203.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 485849764 + 2539555236 = 22042^2 + 50394^2 .

It is not an unprimeable number, because it can be changed into a prime (3025405001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67204 + ... + 102796.

Almost surely, 23025405000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3025405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752853390).

3025405000 is an abundant number, since it is smaller than the sum of its proper divisors (4480301780).

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

3025405000 is a wasteful number, since it uses less digits than its factorization.

3025405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35636 (or 35617 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 3025405000 is about 55003.6816949557. The cubic root of 3025405000 is about 1446.3092821547.

The spelling of 3025405000 in words is "three billion, twenty-five million, four hundred five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 625 680 850 1000 1250 1700 2125 2500 3400 4250 5000 8500 10625 17000 21250 35593 42500 71186 85000 142372 177965 284744 355930 605081 711860 889825 1210162 1423720 1779650 2420324 3025405 3559300 4449125 4840648 6050810 7118600 8898250 12101620 15127025 17796500 22245625 24203240 30254050 35593000 44491250 60508100 75635125 88982500 121016200 151270250 177965000 302540500 378175625 605081000 756351250 1512702500 3025405000