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4000623795 = 3257231972803
BaseRepresentation
bin1110111001110100…
…1010110010110011
3101022210212202010200
43232131022302303
531143124430140
61500551130243
7201065512140
oct35635126263
911283782120
104000623795
11177327a963
12937973983
134b9aac61c
1429d4773c7
1518634a030
hexee74acb3

4000623795 has 96 divisors (see below), whose sum is σ = 8314555392. Its totient is φ = 1739840256.

The previous prime is 4000623773. The next prime is 4000623827. The reversal of 4000623795 is 5973260004.

It is not a de Polignac number, because 4000623795 - 210 = 4000622771 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 1425864 + ... + 1428666.

It is an arithmetic number, because the mean of its divisors is an integer number (86609952).

Almost surely, 24000623795 is an apocalyptic number.

4000623795 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4000623795 is an abundant number, since it is smaller than the sum of its proper divisors (4313931597).

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

4000623795 is a wasteful number, since it uses less digits than its factorization.

4000623795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4000623795 is about 63250.4845435986. The cubic root of 4000623795 is about 1587.4835654157.

Adding to 4000623795 its reverse (5973260004), we get a palindrome (9973883799).

The spelling of 4000623795 in words is "four billion, six hundred twenty-three thousand, seven hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 197 207 315 345 483 591 805 985 1035 1379 1449 1773 2415 2803 2955 4137 4531 6895 7245 8409 8865 12411 13593 14015 19621 20685 22655 25227 31717 40779 42045 58863 62055 64469 67965 95151 98105 126135 158585 176589 193407 203895 285453 294315 322345 451283 475755 552191 580221 882945 967035 1353849 1427265 1656573 2256415 2760955 2901105 3865337 4061547 4969719 6769245 8282865 11596011 12700393 19326685 20307735 24848595 34788033 38101179 57980055 63501965 88902751 114303537 173940165 190505895 266708253 444513755 571517685 800124759 1333541265 4000623795