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4072992399 = 3271910133359
BaseRepresentation
bin1111001011000100…
…1110111010001111
3101111212001110012100
43302301032322033
531320141224044
61512054210143
7202634602260
oct36261167217
911455043170
104072992399
111800109523
12958053953
134cba9a298
142a8d14967
1518c892869
hexf2c4ee8f

4072992399 has 48 divisors (see below), whose sum is σ = 7086643200. Its totient is φ = 2202095808.

The previous prime is 4072992383. The next prime is 4072992401. The reversal of 4072992399 is 9932992704.

It is a Cunningham number, because it is equal to 638202-1.

It is not a de Polignac number, because 4072992399 - 24 = 4072992383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072992349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1210882 + ... + 1214240.

It is an arithmetic number, because the mean of its divisors is an integer number (147638400).

Almost surely, 24072992399 is an apocalyptic number.

4072992399 is a deficient number, since it is larger than the sum of its proper divisors (3013650801).

4072992399 is a wasteful number, since it uses less digits than its factorization.

4072992399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 4072992399 is about 63819.9999921655. Note that the first 5 decimals coincide. The cubic root of 4072992399 is about 1596.9985918586.

The spelling of 4072992399 in words is "four billion, seventy-two million, nine hundred ninety-two thousand, three hundred ninety-nine".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1013 1197 3039 3359 7091 9117 10077 19247 21273 23513 30231 57741 63819 63821 70539 134729 173223 191463 211617 404187 446747 574389 1212561 1340241 3402667 4020723 10208001 23818669 30624003 64650673 71456007 193952019 214368021 452554711 581856057 1357664133 4072992399