Search a number
-
+
14896464 = 2431189317
BaseRepresentation
bin111000110100…
…110101010000
31001000211002220
4320310311100
512303141324
61251141040
7240421632
oct70646520
931024086
1014896464
118454a30
124ba4780
13311749b
141d9aa52
151493b79
hexe34d50

14896464 has 80 divisors (see below), whose sum is σ = 42586560. Its totient is φ = 4449280.

The previous prime is 14896429. The next prime is 14896487. The reversal of 14896464 is 46469841.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46834 + ... + 47150.

It is an arithmetic number, because the mean of its divisors is an integer number (532332).

Almost surely, 214896464 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 14896464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21293280).

14896464 is an abundant number, since it is smaller than the sum of its proper divisors (27690096).

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

14896464 is a wasteful number, since it uses less digits than its factorization.

14896464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 14896464 is about 3859.5937610065. The cubic root of 14896464 is about 246.0524707956.

The spelling of 14896464 in words is "fourteen million, eight hundred ninety-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 89 132 176 178 264 267 317 356 528 534 634 712 951 979 1068 1268 1424 1902 1958 2136 2536 2937 3487 3804 3916 4272 5072 5874 6974 7608 7832 10461 11748 13948 15216 15664 20922 23496 27896 28213 41844 46992 55792 56426 83688 84639 112852 167376 169278 225704 310343 338556 451408 620686 677112 931029 1241372 1354224 1862058 2482744 3724116 4965488 7448232 14896464