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14295528 = 2334131697
BaseRepresentation
bin110110100010…
…000111101000
3222220021210000
4312202013220
512124424103
61230223000
7232336632
oct66420750
928807700
1014295528
118084495
124954a60
132c66ac0
141c81a52
1513c5aa3
hexda21e8

14295528 has 80 divisors (see below), whose sum is σ = 43146180. Its totient is φ = 4396032.

The previous prime is 14295527. The next prime is 14295529. The reversal of 14295528 is 82559241.

14295528 is a `hidden beast` number, since 1 + 42 + 95 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (14295527) and next prime (14295529).

It can be written as a sum of positive squares in 2 ways, for example, as 14152644 + 142884 = 3762^2 + 378^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 14295492 and 14295501.

It is not an unprimeable number, because it can be changed into a prime (14295527) 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 19 ways as a sum of consecutive naturals, for example, 7576 + ... + 9272.

Almost surely, 214295528 is an apocalyptic number.

14295528 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 14295528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21573090).

14295528 is an abundant number, since it is smaller than the sum of its proper divisors (28850652).

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

14295528 is a wasteful number, since it uses less digits than its factorization.

14295528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1715 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 14295528 is about 3780.9427395823. The cubic root of 14295528 is about 242.6982995568.

The spelling of 14295528 in words is "fourteen million, two hundred ninety-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 1697 2106 2808 3394 4212 5091 6788 8424 10182 13576 15273 20364 22061 30546 40728 44122 45819 61092 66183 88244 91638 122184 132366 137457 176488 183276 198549 264732 274914 366552 397098 529464 549828 595647 794196 1099656 1191294 1588392 1786941 2382588 3573882 4765176 7147764 14295528