Search a number
-
+
5041400 = 2352713277
BaseRepresentation
bin10011001110110011111000
3100111010111112
4103032303320
52242311100
6300015452
760564650
oct23166370
910433445
105041400
112933751
121831588
1310768a0
14953360
15698b35
hex4cecf8

5041400 has 96 divisors (see below), whose sum is σ = 14478240. Its totient is φ = 1589760.

The previous prime is 5041369. The next prime is 5041409. The reversal of 5041400 is 41405.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5041409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18062 + ... + 18338.

It is an arithmetic number, because the mean of its divisors is an integer number (150815).

Almost surely, 25041400 is an apocalyptic number.

5041400 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 5041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239120).

5041400 is an abundant number, since it is smaller than the sum of its proper divisors (9436840).

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

5041400 is a wasteful number, since it uses less digits than its factorization.

5041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 5041400 is about 2245.3062151965. The cubic root of 5041400 is about 171.4682513967.

Adding to 5041400 its reverse (41405), we get a palindrome (5082805).

It can be divided in two parts, 5041 and 400, that multiplied together give a square (2016400 = 14202).

The spelling of 5041400 in words is "five million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 277 280 325 350 364 455 520 554 650 700 728 910 1108 1300 1385 1400 1820 1939 2216 2275 2600 2770 3601 3640 3878 4550 5540 6925 7202 7756 9100 9695 11080 13850 14404 15512 18005 18200 19390 25207 27700 28808 36010 38780 48475 50414 55400 72020 77560 90025 96950 100828 126035 144040 180050 193900 201656 252070 360100 387800 504140 630175 720200 1008280 1260350 2520700 5041400