Search a number
-
+
5212900 = 2252711677
BaseRepresentation
bin10011111000101011100100
3100210211202101
4103320223210
52313303100
6303421444
762210650
oct23705344
910724671
105212900
112a40590
1218b4884
131106974
14999a60
156ce86a
hex4f8ae4

5212900 has 72 divisors (see below), whose sum is σ = 14124096. Its totient is φ = 1622400.

The previous prime is 5212873. The next prime is 5212901. The reversal of 5212900 is 92125.

It is not an unprimeable number, because it can be changed into a prime (5212901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7362 + ... + 8038.

It is an arithmetic number, because the mean of its divisors is an integer number (196168).

Almost surely, 25212900 is an apocalyptic number.

5212900 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 5212900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7062048).

5212900 is an abundant number, since it is smaller than the sum of its proper divisors (8911196).

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

5212900 is a wasteful number, since it uses less digits than its factorization.

5212900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 5212900 is about 2283.1776102616. The cubic root of 5212900 is about 173.3909653853.

The spelling of 5212900 in words is "five million, two hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 677 700 770 1100 1354 1540 1925 2708 3385 3850 4739 6770 7447 7700 9478 13540 14894 16925 18956 23695 29788 33850 37235 47390 52129 67700 74470 94780 104258 118475 148940 186175 208516 236950 260645 372350 473900 521290 744700 1042580 1303225 2606450 5212900