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5036000 = 25531259
BaseRepresentation
bin10011001101011111100000
3100110212002112
4103031133200
52242123000
6255534452
760543134
oct23153740
910425075
105036000
11292a692
12182a428
1310742a8
149513c4
15697235
hex4cd7e0

5036000 has 48 divisors (see below), whose sum is σ = 12383280. Its totient is φ = 2012800.

The previous prime is 5035999. The next prime is 5036039. The reversal of 5036000 is 6305.

It is a happy number.

It is a super-2 number, since 2×50360002 = 50722592000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3371 + ... + 4629.

It is an arithmetic number, because the mean of its divisors is an integer number (257985).

Almost surely, 25036000 is an apocalyptic number.

5036000 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 5036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640).

5036000 is an abundant number, since it is smaller than the sum of its proper divisors (7347280).

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

5036000 is a wasteful number, since it uses less digits than its factorization.

5036000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 5036000 is about 2244.1033844277. The cubic root of 5036000 is about 171.4070078697.

The spelling of 5036000 in words is "five million, thirty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1259 2000 2518 4000 5036 6295 10072 12590 20144 25180 31475 40288 50360 62950 100720 125900 157375 201440 251800 314750 503600 629500 1007200 1259000 2518000 5036000