Search a number
-
+
14444928 = 273212539
BaseRepresentation
bin110111000110…
…100110000000
31000011212201100
4313012212000
512144214203
61233334400
7233531331
oct67064600
930155640
1014444928
118176763
124a07400
132cb9ac4
141cc0288
151404ea3
hexdc6980

14444928 has 48 divisors (see below), whose sum is σ = 41570100. Its totient is φ = 4814592.

The previous prime is 14444923. The next prime is 14444939. The reversal of 14444928 is 82944441.

It is a tau number, because it is divible by the number of its divisors (48).

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 junction number, because it is equal to n+sod(n) for n = 14444892 and 14444901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14444923) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5118 + ... + 7421.

Almost surely, 214444928 is an apocalyptic number.

14444928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14444928 is an abundant number, since it is smaller than the sum of its proper divisors (27125172).

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

14444928 is a wasteful number, since it uses less digits than its factorization.

14444928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12559 (or 12544 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 14444928 is about 3800.6483657397. The cubic root of 14444928 is about 243.5408367407.

The spelling of 14444928 in words is "fourteen million, four hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 12539 25078 37617 50156 75234 100312 112851 150468 200624 225702 300936 401248 451404 601872 802496 902808 1203744 1604992 1805616 2407488 3611232 4814976 7222464 14444928