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39676272 = 2434347409
BaseRepresentation
bin1001011101011…
…0100101110000
32202122202121120
42113112211300
540124120042
63534222240
7661146156
oct227264560
982582546
1039676272
112043a409
1211354980
1382b23ac
1453ab3d6
15373adec
hex25d6970

39676272 has 80 divisors (see below), whose sum is σ = 107374080. Its totient is φ = 12612096.

The previous prime is 39676271. The next prime is 39676279. The reversal of 39676272 is 27267693.

39676272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

Its product of digits (190512) is a multiple of the sum of its prime divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39676271) 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 15 ways as a sum of consecutive naturals, for example, 96804 + ... + 97212.

It is an arithmetic number, because the mean of its divisors is an integer number (1342176).

Almost surely, 239676272 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 39676272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53687040).

39676272 is an abundant number, since it is smaller than the sum of its proper divisors (67697808).

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

39676272 is a wasteful number, since it uses less digits than its factorization.

39676272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 39676272 is about 6298.9103819629. The cubic root of 39676272 is about 341.0700773009.

The spelling of 39676272 in words is "thirty-nine million, six hundred seventy-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 47 48 86 94 129 141 172 188 258 282 344 376 409 516 564 688 752 818 1032 1128 1227 1636 2021 2064 2256 2454 3272 4042 4908 6063 6544 8084 9816 12126 16168 17587 19223 19632 24252 32336 35174 38446 48504 52761 57669 70348 76892 97008 105522 115338 140696 153784 211044 230676 281392 307568 422088 461352 826589 844176 922704 1653178 2479767 3306356 4959534 6612712 9919068 13225424 19838136 39676272