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3928000993 = 73727754751
BaseRepresentation
bin1110101000100000…
…1000100111100001
3101010202020010101021
43222020020213201
531021032012433
61445434405441
7166224312640
oct35210104741
911122203337
103928000993
111736288314
12917590881
134a7a33057
14293971357
1517eca222d
hexea2089e1

3928000993 has 16 divisors (see below), whose sum is σ = 4627201024. Its totient is φ = 3263976000.

The previous prime is 3928000991. The next prime is 3928000997. The reversal of 3928000993 is 3990008293.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 3928000993 - 21 = 3928000991 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3928000991) 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, 44368 + ... + 99118.

It is an arithmetic number, because the mean of its divisors is an integer number (289200064).

Almost surely, 23928000993 is an apocalyptic number.

It is an amenable number.

3928000993 is a deficient number, since it is larger than the sum of its proper divisors (699200031).

3928000993 is a wasteful number, since it uses less digits than its factorization.

3928000993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55072.

The product of its (nonzero) digits is 104976, while the sum is 43.

The square root of 3928000993 is about 62673.7663859449. The cubic root of 3928000993 is about 1577.8190537625.

The spelling of 3928000993 in words is "three billion, nine hundred twenty-eight million, nine hundred ninety-three", and thus it is an aban number.

Divisors: 1 7 37 259 277 1939 10249 54751 71743 383257 2025787 14180509 15166027 106162189 561142999 3928000993