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5018000 = 245313193
BaseRepresentation
bin10011001001000110010000
3100102221101212
4103021012100
52241034000
6255315252
760436511
oct23110620
910387355
105018000
112918109
12181bb28
131069040
14948a08
15691c35
hex4c9190

5018000 has 80 divisors (see below), whose sum is σ = 13134576. Its totient is φ = 1843200.

The previous prime is 5017997. The next prime is 5018003. The reversal of 5018000 is 8105.

It is an interprime number because it is at equal distance from previous prime (5017997) and next prime (5018003).

It can be written as a sum of positive squares in 8 ways, for example, as 3254416 + 1763584 = 1804^2 + 1328^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5018003) 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, 25904 + ... + 26096.

Almost surely, 25018000 is an apocalyptic number.

5018000 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 5018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6567288).

5018000 is an abundant number, since it is smaller than the sum of its proper divisors (8116576).

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

5018000 is a wasteful number, since it uses less digits than its factorization.

5018000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 5018000 is about 2240.0892839349. The cubic root of 5018000 is about 171.2025460360.

The spelling of 5018000 in words is "five million, eighteen thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 193 200 208 250 260 325 386 400 500 520 650 772 965 1000 1040 1300 1544 1625 1930 2000 2509 2600 3088 3250 3860 4825 5018 5200 6500 7720 9650 10036 12545 13000 15440 19300 20072 24125 25090 26000 38600 40144 48250 50180 62725 77200 96500 100360 125450 193000 200720 250900 313625 386000 501800 627250 1003600 1254500 2509000 5018000