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14529528 = 23321319243
BaseRepresentation
bin110111011011…
…001111111000
31000100011202200
4313123033320
512204421103
61235230200
7234333066
oct67331770
930304680
1014529528
118224282
124a48360
133019470
141d03036
1514200a3
hexddb3f8

14529528 has 144 divisors (see below), whose sum is σ = 45765720. Its totient is φ = 4136832.

The previous prime is 14529523. The next prime is 14529569. The reversal of 14529528 is 82592541.

It is a super-2 number, since 2×145295282 = 422214367805568, which contains 22 as substring.

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

Its product of digits (28800) is a multiple of the sum of its prime divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 14529492 and 14529501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14529523) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 337875 + ... + 337917.

It is a vampire number, since it can be written as 24515928 (with its own digits).

Almost surely, 214529528 is an apocalyptic number.

14529528 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 14529528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22882860).

14529528 is an abundant number, since it is smaller than the sum of its proper divisors (31236192).

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

14529528 is a wasteful number, since it uses less digits than its factorization.

14529528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 80 counting only the distinct ones).

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

The square root of 14529528 is about 3811.7617973845. The cubic root of 14529528 is about 244.0153622864.

The spelling of 14529528 in words is "fourteen million, five hundred twenty-nine thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 43 52 57 72 76 78 86 104 114 117 129 152 156 171 172 228 234 247 258 312 342 344 361 387 456 468 494 516 559 684 722 741 774 817 936 988 1032 1083 1118 1368 1444 1482 1548 1634 1677 1976 2166 2223 2236 2451 2888 2964 3096 3249 3268 3354 4332 4446 4472 4693 4902 5031 5928 6498 6536 6708 7353 8664 8892 9386 9804 10062 10621 12996 13416 14079 14706 15523 17784 18772 19608 20124 21242 25992 28158 29412 31046 31863 37544 40248 42237 42484 46569 56316 58824 62092 63726 84474 84968 93138 95589 112632 124184 127452 139707 168948 186276 191178 201799 254904 279414 337896 372552 382356 403598 558828 605397 764712 807196 1117656 1210794 1614392 1816191 2421588 3632382 4843176 7264764 14529528