Search a number
-
+
14650464 = 2531747191
BaseRepresentation
bin110111111000…
…110001100000
31000120022122210
4313320301200
512222303324
61242002120
7235345503
oct67706140
930508583
1014650464
1182a7124
124aa6340
13305c51a
141d3513a
151445d29
hexdf8c60

14650464 has 96 divisors (see below), whose sum is σ = 41803776. Its totient is φ = 4474880.

The previous prime is 14650457. The next prime is 14650499. The reversal of 14650464 is 46405641.

14650464 is digitally balanced in base 2, because in such base 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 a congruent number.

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, 76609 + ... + 76799.

It is an arithmetic number, because the mean of its divisors is an integer number (435456).

Almost surely, 214650464 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 14650464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20901888).

14650464 is an abundant number, since it is smaller than the sum of its proper divisors (27153312).

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

14650464 is a wasteful number, since it uses less digits than its factorization.

14650464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 14650464 is about 3827.5924547945. The cubic root of 14650464 is about 244.6905102233.

The spelling of 14650464 in words is "fourteen million, six hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 47 48 51 68 94 96 102 136 141 188 191 204 272 282 376 382 408 544 564 573 752 764 799 816 1128 1146 1504 1528 1598 1632 2256 2292 2397 3056 3196 3247 4512 4584 4794 6112 6392 6494 8977 9168 9588 9741 12784 12988 17954 18336 19176 19482 25568 25976 26931 35908 38352 38964 51952 53862 71816 76704 77928 103904 107724 143632 152609 155856 215448 287264 305218 311712 430896 457827 610436 861792 915654 1220872 1831308 2441744 3662616 4883488 7325232 14650464