Search a number
-
+
4049730 = 233553283
BaseRepresentation
bin1111011100101101000010
321121202012000
433130231002
52014042410
6222444430
746264536
oct17345502
97552160
104049730
112316693
121433716
13aba3b9
14775bc6
1554edc0
hex3dcb42

4049730 has 64 divisors (see below), whose sum is σ = 11041920. Its totient is φ = 1055808.

The previous prime is 4049711. The next prime is 4049737. The reversal of 4049730 is 379404.

4049730 = 2502 + 2512 + ... + 3022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4049694 and 4049703.

It is not an unprimeable number, because it can be changed into a prime (4049737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14169 + ... + 14451.

It is an arithmetic number, because the mean of its divisors is an integer number (172530).

Almost surely, 24049730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4049730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520960).

4049730 is an abundant number, since it is smaller than the sum of its proper divisors (6992190).

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

4049730 is a wasteful number, since it uses less digits than its factorization.

4049730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4049730 is about 2012.3940965924. The cubic root of 4049730 is about 159.3952431034.

It can be divided in two parts, 40 and 49730, that added together give a triangular number (49770 = T315).

The spelling of 4049730 in words is "four million, forty-nine thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 283 318 477 530 566 795 849 954 1415 1431 1590 1698 2385 2547 2830 2862 4245 4770 5094 7155 7641 8490 12735 14310 14999 15282 25470 29998 38205 44997 74995 76410 89994 134991 149990 224985 269982 404973 449970 674955 809946 1349910 2024865 4049730