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39148272 = 243510069
BaseRepresentation
bin1001010101010…
…1101011110000
32201122221100000
42111111223300
540010221042
63515030000
7653516622
oct225255360
981587300
1039148272
1120109749
121113b300
138158c77
1452b0c12
15368474c
hex2555af0

39148272 has 60 divisors (see below), whose sum is σ = 113629880. Its totient is φ = 13048128.

The previous prime is 39148271. The next prime is 39148273. The reversal of 39148272 is 27284193.

39148272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (39148271) and next prime (39148273).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39148271) by changing a digit.

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, 1147 + ... + 8922.

Almost surely, 239148272 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 39148272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56814940).

39148272 is an abundant number, since it is smaller than the sum of its proper divisors (74481608).

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

39148272 is a wasteful number, since it uses less digits than its factorization.

39148272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10092 (or 10074 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 39148272 is about 6256.8579974297. The cubic root of 39148272 is about 339.5503629584.

The spelling of 39148272 in words is "thirty-nine million, one hundred forty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 10069 20138 30207 40276 60414 80552 90621 120828 161104 181242 241656 271863 362484 483312 543726 724968 815589 1087452 1449936 1631178 2174904 2446767 3262356 4349808 4893534 6524712 9787068 13049424 19574136 39148272