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3818238048 = 25337336029
BaseRepresentation
bin1110001110010101…
…1011000001100000
3100212002200120221000
43203211123001200
530304432104143
61430514032000
7163422326232
oct34345330140
910762616830
103818238048
11168a328839
128a6878600
1348b081871
1428315c252
1517531ebd3
hexe395b060

3818238048 has 96 divisors (see below), whose sum is σ = 11153570400. Its totient is φ = 1270798848.

The previous prime is 3818238023. The next prime is 3818238089. The reversal of 3818238048 is 8408328183.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3818237994 and 3818238012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630298 + ... + 636326.

It is an arithmetic number, because the mean of its divisors is an integer number (116183025).

Almost surely, 23818238048 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 3818238048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576785200).

3818238048 is an abundant number, since it is smaller than the sum of its proper divisors (7335332352).

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

3818238048 is a wasteful number, since it uses less digits than its factorization.

3818238048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6781 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 3818238048 is about 61791.8930604978. The cubic root of 3818238048 is about 1562.9832853234.

The spelling of 3818238048 in words is "three billion, eight hundred eighteen million, two hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 733 864 1466 2199 2932 4398 5864 6029 6597 8796 11728 12058 13194 17592 18087 19791 23456 24116 26388 35184 36174 39582 48232 52776 54261 70368 72348 79164 96464 105552 108522 144696 158328 162783 192928 211104 217044 289392 316656 325566 434088 578784 633312 651132 868176 1302264 1736352 2604528 4419257 5209056 8838514 13257771 17677028 26515542 35354056 39773313 53031084 70708112 79546626 106062168 119319939 141416224 159093252 212124336 238639878 318186504 424248672 477279756 636373008 954559512 1272746016 1909119024 3818238048