Search a number
-
+
13902944 = 2511127311
BaseRepresentation
bin110101000010…
…010001100000
3222011100020212
4311002101200
512024343234
61213553252
7226113236
oct65022140
928140225
1013902944
117936540
1247a5828
132b5a1c3
141bbc956
1513495ce
hexd42460

13902944 has 48 divisors (see below), whose sum is σ = 30191616. Its totient is φ = 6249600.

The previous prime is 13902943. The next prime is 13902947. The reversal of 13902944 is 44920931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13902944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13902943) 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, 44549 + ... + 44859.

It is an arithmetic number, because the mean of its divisors is an integer number (628992).

Almost surely, 213902944 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 13902944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095808).

13902944 is an abundant number, since it is smaller than the sum of its proper divisors (16288672).

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

13902944 is a wasteful number, since it uses less digits than its factorization.

13902944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 13902944 is about 3728.6651767087. The cubic root of 13902944 is about 240.4559849603.

It can be divided in two parts, 1390 and 2944, that added together give a palindrome (4334).

The spelling of 13902944 in words is "thirteen million, nine hundred two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 127 176 254 311 352 508 622 1016 1244 1397 2032 2488 2794 3421 4064 4976 5588 6842 9952 11176 13684 22352 27368 39497 44704 54736 78994 109472 157988 315976 434467 631952 868934 1263904 1737868 3475736 6951472 13902944