Search a number
-
+
14809476 = 22311151743
BaseRepresentation
bin111000011111…
…100110000100
31000212101210010
4320133212010
512242400401
61245230220
7236610213
oct70374604
930771703
1014809476
1183a5640
124b62370
1330b6a06
141d7707a
151477ed6
hexe1f984

14809476 has 48 divisors (see below), whose sum is σ = 37997568. Its totient is φ = 4452000.

The previous prime is 14809471. The next prime is 14809507. The reversal of 14809476 is 67490841.

It is a happy number.

14809476 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14809471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19561 + ... + 20303.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 214809476 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 14809476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18998784).

14809476 is an abundant number, since it is smaller than the sum of its proper divisors (23188092).

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

14809476 is a wasteful number, since it uses less digits than its factorization.

14809476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 14809476 is about 3848.3081997158. The cubic root of 14809476 is about 245.5725938218.

The spelling of 14809476 in words is "fourteen million, eight hundred nine thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 151 302 453 604 743 906 1486 1661 1812 2229 2972 3322 4458 4983 6644 8173 8916 9966 16346 19932 24519 32692 49038 98076 112193 224386 336579 448772 673158 1234123 1346316 2468246 3702369 4936492 7404738 14809476