Search a number
-
+
4464396 = 22361531
BaseRepresentation
bin10001000001111100001100
322101211000000
4101001330030
52120330041
6235404300
752642506
oct21017414
98354000
104464396
11257a192
1215b3690
13c04071
14842d76
155d2bb6
hex441f0c

4464396 has 42 divisors (see below), whose sum is σ = 11721332. Its totient is φ = 1487160.

The previous prime is 4464379. The next prime is 4464401. The reversal of 4464396 is 6934644.

4464396 is a `hidden beast` number, since 4 + 4 + 643 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 4 + 49 + 6 + 411 + 38 + 92 + 64 .

It is a self number, because there is not a number n which added to its sum of digits gives 4464396.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2151 + ... + 3681.

Almost surely, 24464396 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 4464396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860666).

4464396 is an abundant number, since it is smaller than the sum of its proper divisors (7256936).

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

4464396 is a wasteful number, since it uses less digits than its factorization.

4464396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1536 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 4464396 is about 2112.9117350235. The cubic root of 4464396 is about 164.6597948983.

The spelling of 4464396 in words is "four million, four hundred sixty-four thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1531 2916 3062 4593 6124 9186 13779 18372 27558 41337 55116 82674 124011 165348 248022 372033 496044 744066 1116099 1488132 2232198 4464396