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13972248 = 2332434513
BaseRepresentation
bin110101010011…
…001100011000
3222021212022200
4311103030120
512034102443
61215250200
7226522263
oct65231430
928255280
1013972248
117983614
124819960
132b82904
141bd9cda
15135edd3
hexd53318

13972248 has 48 divisors (see below), whose sum is σ = 38730120. Its totient is φ = 4548096.

The previous prime is 13972243. The next prime is 13972253. The reversal of 13972248 is 84227931.

It is an interprime number because it is at equal distance from previous prime (13972243) and next prime (13972253).

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 (13972243) by changing a digit.

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, 840 + ... + 5352.

Almost surely, 213972248 is an apocalyptic number.

13972248 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 13972248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19365060).

13972248 is an abundant number, since it is smaller than the sum of its proper divisors (24757872).

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

13972248 is a wasteful number, since it uses less digits than its factorization.

13972248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568 (or 4561 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 13972248 is about 3737.9470301223. The cubic root of 13972248 is about 240.8548680538.

The spelling of 13972248 in words is "thirteen million, nine hundred seventy-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 4513 9026 13539 18052 27078 36104 40617 54156 81234 108312 162468 194059 324936 388118 582177 776236 1164354 1552472 1746531 2328708 3493062 4657416 6986124 13972248