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4058628096 = 2143711163
BaseRepresentation
bin1111000111101001…
…1100000000000000
3101110212000200002010
43301322130000000
531303002044341
61510422252520
7202401524655
oct36172340000
911425020063
104058628096
1117a2a983a6
12953287140
134c8b0b0b3
142a7055c2c
1518b4a6716
hexf1e9c000

4058628096 has 120 divisors (see below), whose sum is σ = 10984546944. Its totient is φ = 1332674560.

The previous prime is 4058628043. The next prime is 4058628163. The reversal of 4058628096 is 6908268504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3489211 + ... + 3490373.

Almost surely, 24058628096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4058628096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5492273472).

4058628096 is an abundant number, since it is smaller than the sum of its proper divisors (6925918848).

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

4058628096 is an equidigital number, since it uses as much as digits as its factorization.

4058628096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 4058628096 is about 63707.3629653590. The cubic root of 4058628096 is about 1595.1189916566.

The spelling of 4058628096 in words is "four billion, fifty-eight million, six hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 768 852 1024 1136 1163 1536 1704 2048 2272 2326 3072 3408 3489 4096 4544 4652 6144 6816 6978 8192 9088 9304 12288 13632 13956 16384 18176 18608 24576 27264 27912 36352 37216 49152 54528 55824 72704 74432 82573 109056 111648 145408 148864 165146 218112 223296 247719 290816 297728 330292 436224 446592 495438 581632 595456 660584 872448 893184 990876 1163264 1190912 1321168 1744896 1786368 1981752 2381824 2642336 3489792 3572736 3963504 4763648 5284672 7145472 7927008 9527296 10569344 14290944 15854016 19054592 21138688 28581888 31708032 42277376 57163776 63416064 84554752 126832128 169109504 253664256 338219008 507328512 676438016 1014657024 1352876032 2029314048 4058628096