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14398152 = 23329137151
BaseRepresentation
bin110110111011…
…001011001000
31000002111112220
4312323023020
512141220102
61232334040
7233245056
oct66731310
930074486
1014398152
1181445aa
1249a4320
132ca1722
141cab1d6
1513e61bc
hexdbb2c8

14398152 has 64 divisors (see below), whose sum is σ = 37756800. Its totient is φ = 4569600.

The previous prime is 14398151. The next prime is 14398177. The reversal of 14398152 is 25189341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14398151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95277 + ... + 95427.

It is an arithmetic number, because the mean of its divisors is an integer number (589950).

Almost surely, 214398152 is an apocalyptic number.

14398152 is a gapful number since it is divisible by the number (12) 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 14398152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18878400).

14398152 is an abundant number, since it is smaller than the sum of its proper divisors (23358648).

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

14398152 is a wasteful number, since it uses less digits than its factorization.

14398152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 322 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 14398152 is about 3794.4896890096. The cubic root of 14398152 is about 243.2776720543.

It can be divided in two parts, 1439 and 8152, that added together give a triangular number (9591 = T138).

The spelling of 14398152 in words is "fourteen million, three hundred ninety-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 137 151 174 232 274 302 348 411 453 548 604 696 822 906 1096 1208 1644 1812 3288 3624 3973 4379 7946 8758 11919 13137 15892 17516 20687 23838 26274 31784 35032 41374 47676 52548 62061 82748 95352 105096 124122 165496 248244 496488 599923 1199846 1799769 2399692 3599538 4799384 7199076 14398152