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71281152 = 293231499
BaseRepresentation
bin1000011111110…
…10101000000000
311222010110100200
410033322220000
5121221444102
611023445200
71523610525
oct417725000
9158113320
1071281152
1137266648
121ba56800
13119c99c7
14967714c
1563d051c
hex43faa00

71281152 has 120 divisors (see below), whose sum is σ = 212784000. Its totient is φ = 22947840.

The previous prime is 71281151. The next prime is 71281157. The reversal of 71281152 is 25118217.

It is not an unprimeable number, because it can be changed into a prime (71281151) 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 11 ways as a sum of consecutive naturals, for example, 142599 + ... + 143097.

It is an arithmetic number, because the mean of its divisors is an integer number (1773200).

Almost surely, 271281152 is an apocalyptic number.

71281152 is a gapful number since it is divisible by the number (72) 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 71281152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106392000).

71281152 is an abundant number, since it is smaller than the sum of its proper divisors (141502848).

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

71281152 is a wasteful number, since it uses less digits than its factorization.

71281152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 535 counting only the distinct ones).

The product of its digits is 1120, while the sum is 27.

The square root of 71281152 is about 8442.8165916358. The cubic root of 71281152 is about 414.6276274608.

Adding to 71281152 its reverse (25118217), we get a palindrome (96399369).

The spelling of 71281152 in words is "seventy-one million, two hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 499 512 558 576 744 768 992 998 1116 1152 1488 1497 1536 1984 1996 2232 2304 2976 2994 3968 3992 4464 4491 4608 5952 5988 7936 7984 8928 8982 11904 11976 15469 15872 15968 17856 17964 23808 23952 30938 31936 35712 35928 46407 47616 47904 61876 63872 71424 71856 92814 95808 123752 127744 139221 142848 143712 185628 191616 247504 255488 278442 287424 371256 383232 495008 556884 574848 742512 766464 990016 1113768 1149696 1485024 1980032 2227536 2299392 2970048 3960064 4455072 5940096 7920128 8910144 11880192 17820288 23760384 35640576 71281152