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39319056 = 24327192053
BaseRepresentation
bin1001010111111…
…1011000010000
32201222121121100
42111333120100
540031202211
63522424400
7655130550
oct225773020
981877540
1039319056
1120215a97
1211202100
1381b891a
145317160
1536ba156
hex257f610

39319056 has 120 divisors (see below), whose sum is σ = 132441920. Its totient is φ = 10637568.

The previous prime is 39319031. The next prime is 39319087. The reversal of 39319056 is 65091393.

39319056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×393190562 = 3091976329462272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 39319056.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18126 + ... + 20178.

Almost surely, 239319056 is an apocalyptic number.

39319056 is a gapful number since it is divisible by the number (36) 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 39319056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66220960).

39319056 is an abundant number, since it is smaller than the sum of its proper divisors (93122864).

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

39319056 is a wasteful number, since it uses less digits than its factorization.

39319056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 39319056 is about 6270.4908898746. The cubic root of 39319056 is about 340.0434085292.

The spelling of 39319056 in words is "thirty-nine million, three hundred nineteen thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2053 2128 2394 2736 3192 4106 4788 6159 6384 8212 9576 12318 14371 16424 18477 19152 24636 28742 32848 36954 39007 43113 49272 57484 73908 78014 86226 98544 114968 117021 129339 147816 156028 172452 229936 234042 258678 273049 295632 312056 344904 351063 468084 517356 546098 624112 689808 702126 819147 936168 1034712 1092196 1404252 1638294 1872336 2069424 2184392 2457441 2808504 3276588 4368784 4914882 5617008 6553176 9829764 13106352 19659528 39319056