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14072544 = 2532131373
BaseRepresentation
bin110101101011…
…101011100000
3222110221220100
4311223223200
512100310134
61221342400
7230420553
oct65535340
928427810
1014072544
117a41a02
124867a00
132bb9465
141c2469a
15137e999
hexd6bae0

14072544 has 72 divisors (see below), whose sum is σ = 40432392. Its totient is φ = 4642560.

The previous prime is 14072537. The next prime is 14072557. The reversal of 14072544 is 44527041.

14072544 is a `hidden beast` number, since 1 + 407 + 254 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×140725444 (a number of 30 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 37542 + ... + 37914.

It is an arithmetic number, because the mean of its divisors is an integer number (561561).

Almost surely, 214072544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14072544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20216196).

14072544 is an abundant number, since it is smaller than the sum of its proper divisors (26359848).

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

14072544 is a wasteful number, since it uses less digits than its factorization.

14072544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 14072544 is about 3751.3389609578. The cubic root of 14072544 is about 241.4297984035.

Adding to 14072544 its reverse (44527041), we get a palindrome (58599585).

The spelling of 14072544 in words is "fourteen million, seventy-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 373 393 524 746 786 1048 1119 1179 1492 1572 2096 2238 2358 2984 3144 3357 4192 4476 4716 5968 6288 6714 8952 9432 11936 12576 13428 17904 18864 26856 35808 37728 48863 53712 97726 107424 146589 195452 293178 390904 439767 586356 781808 879534 1172712 1563616 1759068 2345424 3518136 4690848 7036272 14072544