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13552272 = 243410457
BaseRepresentation
bin110011101100…
…101010010000
3221111112020000
4303230222100
511432133042
61202250000
7223122666
oct63545220
927445200
1013552272
117717028
124656900
132a666c6
141b2ac36
1512ca74c
hexceca90

13552272 has 50 divisors (see below), whose sum is σ = 39227958. Its totient is φ = 4516992.

The previous prime is 13552271. The next prime is 13552277. The reversal of 13552272 is 27225531.

13552272 is a `hidden beast` number, since 135 + 522 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13220496 + 331776 = 3636^2 + 576^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13552271) 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 9 ways as a sum of consecutive naturals, for example, 3933 + ... + 6524.

Almost surely, 213552272 is an apocalyptic number.

13552272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13552272 is an abundant number, since it is smaller than the sum of its proper divisors (25675686).

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

13552272 is a wasteful number, since it uses less digits than its factorization.

13552272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10477 (or 10462 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 13552272 is about 3681.3410599943. The cubic root of 13552272 is about 238.4170828412.

It can be divided in two parts, 13552 and 272, that added together give a cube (13824 = 243).

The spelling of 13552272 in words is "thirteen million, five hundred fifty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 10457 20914 31371 41828 62742 83656 94113 125484 167312 188226 250968 282339 376452 501936 564678 752904 847017 1129356 1505808 1694034 2258712 3388068 4517424 6776136 13552272