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18144448 = 267101401
BaseRepresentation
bin100010100110…
…1110011000000
31021010211111121
41011031303000
514121110243
61444522024
7310140160
oct105156300
937124447
1018144448
11a273213
1260b0314
1339b397a
1425a45a0
1518d61ed
hex114dcc0

18144448 has 56 divisors (see below), whose sum is σ = 41660064. Its totient is φ = 7680000.

The previous prime is 18144443. The next prime is 18144461. The reversal of 18144448 is 84444181.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18144443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45048 + ... + 45448.

Almost surely, 218144448 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 18144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20830032).

18144448 is an abundant number, since it is smaller than the sum of its proper divisors (23515616).

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

18144448 is a wasteful number, since it uses less digits than its factorization.

18144448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 511 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The square root of 18144448 is about 4259.6300308830. The cubic root of 18144448 is about 262.7733111010.

The spelling of 18144448 in words is "eighteen million, one hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 202 224 401 404 448 707 802 808 1414 1604 1616 2807 2828 3208 3232 5614 5656 6416 6464 11228 11312 12832 22456 22624 25664 40501 44912 45248 81002 89824 162004 179648 283507 324008 567014 648016 1134028 1296032 2268056 2592064 4536112 9072224 18144448