[go: up one dir, main page]

Search a number
-
+
5044032 = 26347139
BaseRepresentation
bin10011001111011101000000
3100111021010000
4103033131000
52242402112
6300040000
760605430
oct23173500
910437100
105044032
112935724
121833000
131077b46
149542c0
156997dc
hex4cf740

5044032 has 140 divisors (see below), whose sum is σ = 17211040. Its totient is φ = 1430784.

The previous prime is 5044031. The next prime is 5044049. The reversal of 5044032 is 2304405.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5043996 and 5044014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5044031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36219 + ... + 36357.

It is an arithmetic number, because the mean of its divisors is an integer number (122936).

Almost surely, 25044032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8605520).

5044032 is an abundant number, since it is smaller than the sum of its proper divisors (12167008).

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

5044032 is a wasteful number, since it uses less digits than its factorization.

5044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 5044032 is about 2245.8922503094. The cubic root of 5044032 is about 171.4980860936.

Adding to 5044032 its reverse (2304405), we get a palindrome (7348437).

It can be divided in two parts, 504403 and 2, that added together give a palindrome (504405).

The spelling of 5044032 in words is "five million, forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 139 144 162 168 189 192 216 224 252 278 288 324 336 378 417 432 448 504 556 567 576 648 672 756 834 864 973 1008 1112 1134 1251 1296 1344 1512 1668 1728 1946 2016 2224 2268 2502 2592 2919 3024 3336 3753 3892 4032 4448 4536 5004 5184 5838 6048 6672 7506 7784 8757 8896 9072 10008 11259 11676 12096 13344 15012 15568 17514 18144 20016 22518 23352 26271 26688 30024 31136 35028 36288 40032 45036 46704 52542 60048 62272 70056 78813 80064 90072 93408 105084 120096 140112 157626 180144 186816 210168 240192 280224 315252 360288 420336 560448 630504 720576 840672 1261008 1681344 2522016 5044032