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39097984 = 27476797
BaseRepresentation
bin1001010100100…
…1011010000000
32201120101100111
42111021122000
540002113414
63514001104
7653220202
oct225113200
981511314
1039097984
1120084992
1211116194
13813c103
14529a772
1536748c4
hex2549680

39097984 has 64 divisors (see below), whose sum is σ = 81567360. Its totient is φ = 18653184.

The previous prime is 39097979. The next prime is 39098023. The reversal of 39097984 is 48979093.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403024 + ... + 403120.

It is an arithmetic number, because the mean of its divisors is an integer number (1274490).

Almost surely, 239097984 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 39097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40783680).

39097984 is an abundant number, since it is smaller than the sum of its proper divisors (42469376).

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

39097984 is an equidigital number, since it uses as much as digits as its factorization.

39097984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The square root of 39097984 is about 6252.8380756261. The cubic root of 39097984 is about 339.4049106018.

The spelling of 39097984 in words is "thirty-nine million, ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 47 64 67 94 97 128 134 188 194 268 376 388 536 752 776 1072 1504 1552 2144 3008 3104 3149 4288 4559 6016 6208 6298 6499 8576 9118 12416 12596 12998 18236 25192 25996 36472 50384 51992 72944 100768 103984 145888 201536 207968 291776 305453 403072 415936 583552 610906 831872 1221812 2443624 4887248 9774496 19548992 39097984