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5218500 = 223537271
BaseRepresentation
bin10011111010000011000100
3100211010102210
4103322003010
52313443000
6303503420
762233200
oct23720304
910733383
105218500
112a44811
1218b7b70
131109391
1499bb00
156d1350
hex4fa0c4

5218500 has 144 divisors (see below), whose sum is σ = 17926272. Its totient is φ = 1176000.

The previous prime is 5218487. The next prime is 5218511. The reversal of 5218500 is 58125.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73465 + ... + 73535.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

Almost surely, 25218500 is an apocalyptic number.

5218500 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 5218500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963136).

5218500 is an abundant number, since it is smaller than the sum of its proper divisors (12707772).

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

5218500 is a wasteful number, since it uses less digits than its factorization.

5218500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 5218500 is about 2284.4036420913. The cubic root of 5218500 is about 173.4530320478.

The spelling of 5218500 in words is "five million, two hundred eighteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 71 75 84 98 100 105 125 140 142 147 150 175 196 210 213 245 250 284 294 300 350 355 375 420 426 490 497 500 525 588 700 710 735 750 852 875 980 994 1050 1065 1225 1420 1470 1491 1500 1750 1775 1988 2100 2130 2450 2485 2625 2940 2982 3479 3500 3550 3675 4260 4900 4970 5250 5325 5964 6125 6958 7100 7350 7455 8875 9940 10437 10500 10650 12250 12425 13916 14700 14910 17395 17750 18375 20874 21300 24500 24850 26625 29820 34790 35500 36750 37275 41748 49700 52185 53250 62125 69580 73500 74550 86975 104370 106500 124250 149100 173950 186375 208740 248500 260925 347900 372750 434875 521850 745500 869750 1043700 1304625 1739500 2609250 5218500