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39100074 = 23131373659
BaseRepresentation
bin1001010100100…
…1111010101010
32201120111012220
42111021322222
540002200244
63514014510
7653226246
oct225117252
981514186
1039100074
1120086512
1211117436
138140050
14529b426
153675319
hex2549eaa

39100074 has 32 divisors (see below), whose sum is σ = 84853440. Its totient is φ = 11939712.

The previous prime is 39100057. The next prime is 39100079. The reversal of 39100074 is 47000193.

39100074 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (39100079) 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, 8857 + ... + 12515.

It is an arithmetic number, because the mean of its divisors is an integer number (2651670).

Almost surely, 239100074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39100074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42426720).

39100074 is an abundant number, since it is smaller than the sum of its proper divisors (45753366).

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

39100074 is a wasteful number, since it uses less digits than its factorization.

39100074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 39100074 is about 6253.0051975030. The cubic root of 39100074 is about 339.4109581739.

The spelling of 39100074 in words is "thirty-nine million, one hundred thousand, seventy-four".

Divisors: 1 2 3 6 13 26 39 78 137 274 411 822 1781 3562 3659 5343 7318 10686 10977 21954 47567 95134 142701 285402 501283 1002566 1503849 3007698 6516679 13033358 19550037 39100074