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39189640 = 2357672089
BaseRepresentation
bin1001010101111…
…1110010001000
32201202001002011
42111133302020
540013032030
63515545304
7654051340
oct225376210
981661064
1039189640
1120137836
121115b234
138171a49
1452c1d20
153691b2a
hex255fc88

39189640 has 64 divisors (see below), whose sum is σ = 102326400. Its totient is φ = 13229568.

The previous prime is 39189617. The next prime is 39189653. The reversal of 39189640 is 4698193.

39189640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 39189593 and 39189602.

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 15 ways as a sum of consecutive naturals, for example, 17716 + ... + 19804.

It is an arithmetic number, because the mean of its divisors is an integer number (1598850).

Almost surely, 239189640 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 39189640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51163200).

39189640 is an abundant number, since it is smaller than the sum of its proper divisors (63136760).

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

39189640 is a wasteful number, since it uses less digits than its factorization.

39189640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 39189640 is about 6260.1629371766. The cubic root of 39189640 is about 339.6699218724.

The spelling of 39189640 in words is "thirty-nine million, one hundred eighty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 469 536 670 938 1340 1876 2089 2345 2680 3752 4178 4690 8356 9380 10445 14623 16712 18760 20890 29246 41780 58492 73115 83560 116984 139963 146230 279926 292460 559852 584920 699815 979741 1119704 1399630 1959482 2799260 3918964 4898705 5598520 7837928 9797410 19594820 39189640