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14472288 = 2532311621
BaseRepresentation
bin110111001101…
…010001100000
31000020021020200
4313031101200
512201103123
61234105200
7234004155
oct67152140
930207220
1014472288
118195276
124a1b200
132cc93ac
141cca22c
15140d143
hexdcd460

14472288 has 72 divisors (see below), whose sum is σ = 42509376. Its totient is φ = 4665600.

The previous prime is 14472277. The next prime is 14472331. The reversal of 14472288 is 88227441.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 8118 + ... + 9738.

It is an arithmetic number, because the mean of its divisors is an integer number (590408).

Almost surely, 214472288 is an apocalyptic number.

14472288 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 14472288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21254688).

14472288 is an abundant number, since it is smaller than the sum of its proper divisors (28037088).

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

14472288 is a wasteful number, since it uses less digits than its factorization.

14472288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1657 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 14472288 is about 3804.2460488249. The cubic root of 14472288 is about 243.6945025526.

The spelling of 14472288 in words is "fourteen million, four hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 1621 2232 2976 3242 4464 4863 6484 8928 9726 12968 14589 19452 25936 29178 38904 50251 51872 58356 77808 100502 116712 150753 155616 201004 233424 301506 402008 452259 466848 603012 804016 904518 1206024 1608032 1809036 2412048 3618072 4824096 7236144 14472288