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5020800 = 27352523
BaseRepresentation
bin10011001001110010000000
3100110002020120
4103021302000
52241131200
6255340240
760450621
oct23116200
910402216
105020800
11291a224
121821680
13106a3b5
14949a48
156929a0
hex4c9c80

5020800 has 96 divisors (see below), whose sum is σ = 16568880. Its totient is φ = 1336320.

The previous prime is 5020793. The next prime is 5020861. The reversal of 5020800 is 80205.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5020800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9339 + ... + 9861.

Almost surely, 25020800 is an apocalyptic number.

5020800 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 5020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8284440).

5020800 is an abundant number, since it is smaller than the sum of its proper divisors (11548080).

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

5020800 is a wasteful number, since it uses less digits than its factorization.

5020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 5020800 is about 2240.7141718657. The cubic root of 5020800 is about 171.2343832883.

The spelling of 5020800 in words is "five million, twenty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 523 600 640 800 960 1046 1200 1569 1600 1920 2092 2400 2615 3138 3200 4184 4800 5230 6276 7845 8368 9600 10460 12552 13075 15690 16736 20920 25104 26150 31380 33472 39225 41840 50208 52300 62760 66944 78450 83680 100416 104600 125520 156900 167360 200832 209200 251040 313800 334720 418400 502080 627600 836800 1004160 1255200 1673600 2510400 5020800