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4007820938 = 2112925724443
BaseRepresentation
bin1110111011100010…
…0111111010001010
3101100022102101202112
43232320213322022
531202000232223
61501405302322
7201213626102
oct35670477212
911308371675
104007820938
111777346210
1293a2649a2
134bb42c4a4
142a03cc202
15186cbc778
hexeee27e8a

4007820938 has 32 divisors (see below), whose sum is σ = 6811076160. Its totient is φ = 1752002560.

The previous prime is 4007820913. The next prime is 4007820953. The reversal of 4007820938 is 8390287004.

It is a junction number, because it is equal to n+sod(n) for n = 4007820895 and 4007820904.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 151745 + ... + 176187.

It is an arithmetic number, because the mean of its divisors is an integer number (212846130).

Almost surely, 24007820938 is an apocalyptic number.

4007820938 is a deficient number, since it is larger than the sum of its proper divisors (2803255222).

4007820938 is a wasteful number, since it uses less digits than its factorization.

4007820938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24742.

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 4007820938 is about 63307.3529536657. The cubic root of 4007820938 is about 1588.4349588513.

It can be divided in two parts, 40078 and 20938, that added together give a palindrome (61016).

The spelling of 4007820938 in words is "four billion, seven million, eight hundred twenty thousand, nine hundred thirty-eight".

Divisors: 1 2 11 22 29 58 257 319 514 638 2827 5654 7453 14906 24443 48886 81983 163966 268873 537746 708847 1417694 6281851 7797317 12563702 15594634 69100361 138200722 182173679 364347358 2003910469 4007820938