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4097588112 = 2432731073643
BaseRepresentation
bin1111010000111100…
…0011101110010000
3101120120100001011200
43310033003232100
531342440304422
61514333311200
7203353632012
oct36417035620
911516301150
104097588112
111812a88662
12964335500
13503bcc467
142ac2b81b2
1518eb002ac
hexf43c3b90

4097588112 has 120 divisors (see below), whose sum is σ = 11736507744. Its totient is φ = 1334195712.

The previous prime is 4097588101. The next prime is 4097588167. The reversal of 4097588112 is 2118857904.

4097588112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1122963 + ... + 1126605.

Almost surely, 24097588112 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 4097588112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5868253872).

4097588112 is an abundant number, since it is smaller than the sum of its proper divisors (7638919632).

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

4097588112 is a wasteful number, since it uses less digits than its factorization.

4097588112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 4097588112 is about 64012.4059226022. The cubic root of 4097588112 is about 1600.2067586973.

The spelling of 4097588112 in words is "four billion, ninety-seven million, five hundred eighty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 107 144 146 214 219 292 321 428 438 584 642 657 856 876 963 1168 1284 1314 1712 1752 1926 2568 2628 3504 3643 3852 5136 5256 7286 7704 7811 10512 10929 14572 15408 15622 21858 23433 29144 31244 32787 43716 46866 58288 62488 65574 70299 87432 93732 124976 131148 140598 174864 187464 262296 265939 281196 374928 389801 524592 531878 562392 779602 797817 1063756 1124784 1169403 1559204 1595634 2127512 2338806 2393451 3118408 3191268 3508209 4255024 4677612 4786902 6236816 6382536 7016418 9355224 9573804 12765072 14032836 18710448 19147608 28065672 28455473 38295216 56131344 56910946 85366419 113821892 170732838 227643784 256099257 341465676 455287568 512198514 682931352 1024397028 1365862704 2048794056 4097588112