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39321072 = 2433713003
BaseRepresentation
bin1001010111111…
…1110111110000
32201222201101000
42111333313300
540031233242
63522442000
7655136460
oct225776760
981881330
1039321072
112021755a
1211203300
1381b980b
145317ba0
1536baa4c
hex257fdf0

39321072 has 80 divisors (see below), whose sum is σ = 128999680. Its totient is φ = 11233728.

The previous prime is 39321067. The next prime is 39321077. The reversal of 39321072 is 27012393.

It is an interprime number because it is at equal distance from previous prime (39321067) and next prime (39321077).

It is a super-2 number, since 2×393210722 = 3092293406458368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39321077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3478 + ... + 9525.

It is an arithmetic number, because the mean of its divisors is an integer number (1612496).

Almost surely, 239321072 is an apocalyptic number.

It is an amenable number.

39321072 is an abundant number, since it is smaller than the sum of its proper divisors (89678608).

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

39321072 is a wasteful number, since it uses less digits than its factorization.

39321072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13027 (or 13015 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 39321072 is about 6270.6516407787. The cubic root of 39321072 is about 340.0492200946.

The spelling of 39321072 in words is "thirty-nine million, three hundred twenty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 13003 26006 39009 52012 78018 91021 104024 117027 156036 182042 208048 234054 273063 312072 351081 364084 468108 546126 624144 702162 728168 819189 936216 1092252 1404324 1456336 1638378 1872432 2184504 2457567 2808648 3276756 4369008 4915134 5617296 6553512 9830268 13107024 19660536 39321072