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39147144 = 233192932
BaseRepresentation
bin1001010101010…
…1011010001000
32201122212210020
42111111122020
540010202034
63515020440
7653513421
oct225253210
981585706
1039147144
1120108913
121113a720
1381585ba
1452b0648
153684249
hex2555688

39147144 has 48 divisors (see below), whose sum is σ = 103371600. Its totient is φ = 12320064.

The previous prime is 39147139. The next prime is 39147151. The reversal of 39147144 is 44174193.

It is a plaindrome in base 16.

It is an unprimeable number.

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, 133462 + ... + 133754.

It is an arithmetic number, because the mean of its divisors is an integer number (2153575).

Almost surely, 239147144 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 39147144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51685800).

39147144 is an abundant number, since it is smaller than the sum of its proper divisors (64224456).

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

39147144 is a wasteful number, since it uses less digits than its factorization.

39147144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 317 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 39147144 is about 6256.7678556903. The cubic root of 39147144 is about 339.5471017119.

The spelling of 39147144 in words is "thirty-nine million, one hundred forty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 293 456 586 879 1172 1758 2344 3516 5567 7032 11134 16701 22268 33402 44536 66804 85849 133608 171698 257547 343396 515094 686792 1030188 1631131 2060376 3262262 4893393 6524524 9786786 13049048 19573572 39147144