Search a number
-
+
14490528 = 2531317683
BaseRepresentation
bin110111010001…
…101110100000
31000021012021020
4313101232200
512202144103
61234325440
7234111303
oct67215640
930235236
1014490528
1181a7a48
124a29880
1330047a0
141cd2b3a
151413753
hexdd1ba0

14490528 has 96 divisors (see below), whose sum is σ = 43436736. Its totient is φ = 4190208.

The previous prime is 14490493. The next prime is 14490533. The reversal of 14490528 is 82509441.

14490528 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 a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20875 + ... + 21557.

It is an arithmetic number, because the mean of its divisors is an integer number (452466).

Almost surely, 214490528 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 14490528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21718368).

14490528 is an abundant number, since it is smaller than the sum of its proper divisors (28946208).

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

14490528 is a wasteful number, since it uses less digits than its factorization.

14490528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 14490528 is about 3806.6426152188. The cubic root of 14490528 is about 243.7968388621.

Adding to 14490528 its reverse (82509441), we get a palindrome (96999969).

The spelling of 14490528 in words is "fourteen million, four hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 683 816 884 1248 1326 1366 1632 1768 2049 2652 2732 3536 4098 5304 5464 7072 8196 8879 10608 10928 11611 16392 17758 21216 21856 23222 26637 32784 34833 35516 46444 53274 65568 69666 71032 92888 106548 139332 142064 150943 185776 213096 278664 284128 301886 371552 426192 452829 557328 603772 852384 905658 1114656 1207544 1811316 2415088 3622632 4830176 7245264 14490528