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4000413534 = 231327949939
BaseRepresentation
bin1110111001110001…
…0111011101011110
3101022210111001201020
43232130113131132
531143101213114
61500542425010
7201063645135
oct35634273536
911283431636
104000413534
111773146997
12937892166
134b9a37a00
1429d42091c
15186307aa9
hexee71775e

4000413534 has 48 divisors (see below), whose sum is σ = 8773459200. Its totient is φ = 1215291168.

The previous prime is 4000413511. The next prime is 4000413607. The reversal of 4000413534 is 4353140004.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55137 + ... + 105075.

It is an arithmetic number, because the mean of its divisors is an integer number (182780400).

Almost surely, 24000413534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000413534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386729600).

4000413534 is an abundant number, since it is smaller than the sum of its proper divisors (4773045666).

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

4000413534 is a wasteful number, since it uses less digits than its factorization.

4000413534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50049 (or 50036 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 4000413534 is about 63248.8223921995. The cubic root of 4000413534 is about 1587.4557537754.

Adding to 4000413534 its reverse (4353140004), we get a palindrome (8353553538).

The spelling of 4000413534 in words is "four billion, four hundred thirteen thousand, five hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 79 158 169 237 338 474 507 1014 1027 2054 3081 6162 13351 26702 40053 49939 80106 99878 149817 299634 649207 1298414 1947621 3895242 3945181 7890362 8439691 11835543 16879382 23671086 25319073 50638146 51287353 102574706 153862059 307724118 666735589 1333471178 2000206767 4000413534