Search a number
-
+
4681404 = 22327131429
BaseRepresentation
bin10001110110111010111100
322210211200100
4101312322330
52144301104
6244201100
754535260
oct21667274
98724610
104681404
112708232
121699190
13c7ba80
1489c0a0
15627139
hex476ebc

4681404 has 72 divisors (see below), whose sum is σ = 14574560. Its totient is φ = 1233792.

The previous prime is 4681399. The next prime is 4681423. The reversal of 4681404 is 4041864.

It is a super-2 number, since 2×46814042 = 43831086822432, which contains 22 as substring.

4681404 is a modest number, since divided by 1404 gives 468 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2562 + ... + 3990.

Almost surely, 24681404 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 4681404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7287280).

4681404 is an abundant number, since it is smaller than the sum of its proper divisors (9893156).

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

4681404 is a wasteful number, since it uses less digits than its factorization.

4681404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4681404 is about 2163.6552405594. The cubic root of 4681404 is about 167.2856573682.

The spelling of 4681404 in words is "four million, six hundred eighty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1429 1638 2858 3276 4287 5716 8574 10003 12861 17148 18577 20006 25722 30009 37154 40012 51444 55731 60018 74308 90027 111462 120036 130039 167193 180054 222924 260078 334386 360108 390117 520156 668772 780234 1170351 1560468 2340702 4681404