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14528052 = 22337111747
BaseRepresentation
bin110111011010…
…111000110100
31000100002202000
4313122320310
512204344202
61235215300
7234325560
oct67327064
930302660
1014528052
118223160
124a47530
1330188a6
141d026a0
15141e91c
hexddae34

14528052 has 96 divisors (see below), whose sum is σ = 46986240. Its totient is φ = 3771360.

The previous prime is 14528011. The next prime is 14528053. The reversal of 14528052 is 25082541.

It is a happy number.

It is a super-2 number, since 2×145280522 = 422128589829408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14528053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7443 + ... + 9189.

It is an arithmetic number, because the mean of its divisors is an integer number (489440).

Almost surely, 214528052 is an apocalyptic number.

14528052 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 14528052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23493120).

14528052 is an abundant number, since it is smaller than the sum of its proper divisors (32458188).

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

14528052 is a wasteful number, since it uses less digits than its factorization.

14528052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 14528052 is about 3811.5681812084. The cubic root of 14528052 is about 244.0070991395.

The spelling of 14528052 in words is "fourteen million, five hundred twenty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 1747 2079 2772 3494 4158 5241 6988 8316 10482 12229 15723 19217 20964 24458 31446 36687 38434 47169 48916 57651 62892 73374 76868 94338 110061 115302 134519 146748 172953 188676 220122 230604 269038 330183 345906 403557 440244 518859 538076 660366 691812 807114 1037718 1210671 1320732 1614228 2075436 2421342 3632013 4842684 7264026 14528052