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4005000054 = 2321121838843
BaseRepresentation
bin1110111010110111…
…0111001101110110
3101100010010002020100
43232231313031312
531200240000204
61501225014530
7201150636666
oct35655671566
911303102210
104005000054
111775799900
12939324446
134ba982523
1429dc961a6
15186911a39
hexeeb77376

4005000054 has 36 divisors (see below), whose sum is σ = 9538083828. Its totient is φ = 1213635720.

The previous prime is 4005000023. The next prime is 4005000059. The reversal of 4005000054 is 4500005004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005000059) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 917244 + ... + 921599.

It is an arithmetic number, because the mean of its divisors is an integer number (264946773).

Almost surely, 24005000054 is an apocalyptic number.

4005000054 is an abundant number, since it is smaller than the sum of its proper divisors (5533083774).

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

4005000054 is a wasteful number, since it uses less digits than its factorization.

4005000054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838873 (or 1838859 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 4005000054 is about 63285.0697558279. The cubic root of 4005000054 is about 1588.0622008113.

Adding to 4005000054 its reverse (4500005004), we get a palindrome (8505005058).

The spelling of 4005000054 in words is "four billion, five million, fifty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 1838843 3677686 5516529 11033058 16549587 20227273 33099174 40454546 60681819 121363638 182045457 222500003 364090914 445000006 667500009 1335000018 2002500027 4005000054