Search a number
-
+
4053791112 = 233761449881
BaseRepresentation
bin1111000110011111…
…1111000110001000
3101110111220220222120
43301213333012020
531300232303422
61510130451240
7202312440660
oct36147770610
911414826876
104053791112
1117a0294298
12951733b20
134c7b06587
142a65571a0
1518ad4d45c
hexf19ff188

4053791112 has 128 divisors (see below), whose sum is σ = 11811744000. Its totient is φ = 1135411200.

The previous prime is 4053791111. The next prime is 4053791123. The reversal of 4053791112 is 2111973504.

It is not an unprimeable number, because it can be changed into a prime (4053791111) 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, 4600912 + ... + 4601792.

It is an arithmetic number, because the mean of its divisors is an integer number (92279250).

Almost surely, 24053791112 is an apocalyptic number.

4053791112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4053791112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905872000).

4053791112 is an abundant number, since it is smaller than the sum of its proper divisors (7757952888).

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

4053791112 is a wasteful number, since it uses less digits than its factorization.

4053791112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 4053791112 is about 63669.3891285286. The cubic root of 4053791112 is about 1594.4850638063.

The spelling of 4053791112 in words is "four billion, fifty-three million, seven hundred ninety-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 449 488 732 854 881 898 1281 1347 1464 1708 1762 1796 2562 2643 2694 3143 3416 3524 3592 5124 5286 5388 6167 6286 7048 9429 10248 10572 10776 12334 12572 18501 18858 21144 24668 25144 27389 37002 37716 49336 53741 54778 74004 75432 82167 107482 109556 148008 161223 164334 191723 214964 219112 322446 328668 376187 383446 395569 429928 575169 644892 657336 752374 766892 791138 1128561 1150338 1186707 1289784 1504748 1533784 1582276 2257122 2300676 2373414 2768983 3009496 3164552 4514244 4601352 4746828 5537966 8306949 9028488 9493656 11075932 16613898 22151864 24129709 33227796 48259418 66455592 72389127 96518836 144778254 168907963 193037672 289556508 337815926 506723889 579113016 675631852 1013447778 1351263704 2026895556 4053791112