Search a number
-
+
14427648 = 293231101
BaseRepresentation
bin110111000010…
…011000000000
31000011000000100
4313002120000
512143141043
61233122400
7233430054
oct67023000
930130010
1014427648
118164784
1249b9400
132cb1c91
141cb7c64
1513eecd3
hexdc2600

14427648 has 120 divisors (see below), whose sum is σ = 43407936. Its totient is φ = 4608000.

The previous prime is 14427643. The next prime is 14427653. The reversal of 14427648 is 84672441.

14427648 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 7 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (14427643) and next prime (14427653).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14427643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142798 + ... + 142898.

Almost surely, 214427648 is an apocalyptic number.

14427648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21703968).

14427648 is an abundant number, since it is smaller than the sum of its proper divisors (28980288).

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

14427648 is a wasteful number, since it uses less digits than its factorization.

14427648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 14427648 is about 3798.3743891302. The cubic root of 14427648 is about 243.4436846494.

The spelling of 14427648 in words is "fourteen million, four hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 101 124 128 144 186 192 202 248 256 279 288 303 372 384 404 496 512 558 576 606 744 768 808 909 992 1116 1152 1212 1488 1536 1616 1818 1984 2232 2304 2424 2976 3131 3232 3636 3968 4464 4608 4848 5952 6262 6464 7272 7936 8928 9393 9696 11904 12524 12928 14544 15872 17856 18786 19392 23808 25048 25856 28179 29088 35712 37572 38784 47616 50096 51712 56358 58176 71424 75144 77568 100192 112716 116352 142848 150288 155136 200384 225432 232704 300576 400768 450864 465408 601152 801536 901728 1202304 1603072 1803456 2404608 3606912 4809216 7213824 14427648