[go: up one dir, main page]

Search a number
-
+
5221632 = 28313523
BaseRepresentation
bin10011111010110100000000
3100211021201210
4103322310000
52314043012
6303530120
762245263
oct23726400
910737653
105221632
112a470a9
1218b9940
13110a930
1499ccda
156d223c
hex4fad00

5221632 has 72 divisors (see below), whose sum is σ = 14994784. Its totient is φ = 1603584.

The previous prime is 5221631. The next prime is 5221639. The reversal of 5221632 is 2361225.

5221632 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 5221599 and 5221608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5221631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9723 + ... + 10245.

Almost surely, 25221632 is an apocalyptic number.

5221632 is a gapful number since it is divisible by the number (52) 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 5221632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497392).

5221632 is an abundant number, since it is smaller than the sum of its proper divisors (9773152).

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

5221632 is a wasteful number, since it uses less digits than its factorization.

5221632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 541 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 5221632 is about 2285.0890573455. The cubic root of 5221632 is about 173.4877256859.

Adding to 5221632 its reverse (2361225), we get a palindrome (7582857).

It can be divided in two parts, 52 and 21632, that multiplied together give a cube (1124864 = 1043).

The spelling of 5221632 in words is "five million, two hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 523 624 768 832 1046 1248 1569 1664 2092 2496 3138 3328 4184 4992 6276 6799 8368 9984 12552 13598 16736 20397 25104 27196 33472 40794 50208 54392 66944 81588 100416 108784 133888 163176 200832 217568 326352 401664 435136 652704 870272 1305408 1740544 2610816 5221632