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4080801738 = 23134383107137
BaseRepresentation
bin1111001100111100…
…0001011111001010
3101112101202012121010
43303033001133022
531324141123423
61512533424350
7203061146106
oct36317013712
911471665533
104080801738
111804562822
1295a79b0b6
135005a29b0
142a9d88906
1518d3d6693
hexf33c17ca

4080801738 has 128 divisors (see below), whose sum is σ = 9254310912. Its totient is φ = 1191568896.

The previous prime is 4080801731. The next prime is 4080801797. The reversal of 4080801738 is 8371080804.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4080801696 and 4080801705.

It is not an unprimeable number, because it can be changed into a prime (4080801731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29786806 + ... + 29786942.

It is an arithmetic number, because the mean of its divisors is an integer number (72299304).

Almost surely, 24080801738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4080801738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627155456).

4080801738 is an abundant number, since it is smaller than the sum of its proper divisors (5173509174).

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

4080801738 is a wasteful number, since it uses less digits than its factorization.

4080801738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388.

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 4080801738 is about 63881.1532300412. The cubic root of 4080801738 is about 1598.0186069493.

The spelling of 4080801738 in words is "four billion, eighty million, eight hundred one thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 13 26 39 43 78 83 86 107 129 137 166 214 249 258 274 321 411 498 559 642 822 1079 1118 1391 1677 1781 2158 2782 3237 3354 3562 3569 4173 4601 5343 5891 6474 7138 8346 8881 9202 10686 10707 11371 11782 13803 14659 17673 17762 21414 22742 26643 27606 29318 34113 35346 43977 46397 53286 59813 68226 76583 87954 92794 115453 119626 139191 147823 153166 179439 190567 229749 230906 278382 295646 346359 358878 381134 381883 443469 459498 488953 571701 630337 692718 763766 886938 977906 1143402 1145649 1216697 1260674 1466859 1891011 2291298 2433394 2933718 3650091 3782022 4964479 6356389 7300182 8194381 9928958 12712778 14893437 15817061 16388762 19069167 24583143 29786874 31634122 38138334 47451183 49166286 52317971 94902366 104635942 156953913 313907826 680133623 1360267246 2040400869 4080801738