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4058882729 = 114753167887
BaseRepresentation
bin1111000111101101…
…1010001010101001
3101110212111121100222
43301323122022221
531303033221404
61510431535425
7202403635226
oct36173321251
911425447328
104058882729
1117a3151740
1295338a575
134c8b99c75
142a70c094d
1518b506dbe
hexf1eda2a9

4058882729 has 32 divisors (see below), whose sum is σ = 4640219136. Its totient is φ = 3518057920.

The previous prime is 4058882701. The next prime is 4058882759. The reversal of 4058882729 is 9272888504.

It is a cyclic number.

It is not a de Polignac number, because 4058882729 - 224 = 4042105513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4058882759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4575524 + ... + 4576410.

It is an arithmetic number, because the mean of its divisors is an integer number (145006848).

Almost surely, 24058882729 is an apocalyptic number.

It is an amenable number.

4058882729 is a deficient number, since it is larger than the sum of its proper divisors (581336407).

4058882729 is a wasteful number, since it uses less digits than its factorization.

4058882729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165.

The product of its (nonzero) digits is 2580480, while the sum is 53.

The square root of 4058882729 is about 63709.3613921847. The cubic root of 4058882729 is about 1595.1523495163.

The spelling of 4058882729 in words is "four billion, fifty-eight million, eight hundred eighty-two thousand, seven hundred twenty-nine".

Divisors: 1 11 47 53 167 517 583 887 1837 2491 7849 8851 9757 27401 41689 47011 86339 97361 148129 415997 458579 517121 1629419 2209517 4575967 6962063 7850837 24304687 76582693 86359207 368989339 4058882729