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4026739104 = 2532101138433
BaseRepresentation
bin1111000000000011…
…0010100110100000
3101101122000112121100
43300000302212200
531221321122404
61503322554400
7201533501103
oct36000624640
911348015540
104026739104
111786a97763
12944668a00
134c232437b
142a2b1473a
151887a7d39
hexf00329a0

4026739104 has 72 divisors (see below), whose sum is σ = 11564499492. Its totient is φ = 1328947200.

The previous prime is 4026739091. The next prime is 4026739111. The reversal of 4026739104 is 4019376204.

4026739104 is a `hidden beast` number, since 4 + 0 + 267 + 391 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2486019600 + 1540719504 = 49860^2 + 39252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40129 + ... + 98304.

Almost surely, 24026739104 is an apocalyptic number.

It is an amenable number.

4026739104 is an abundant number, since it is smaller than the sum of its proper divisors (7537760388).

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

4026739104 is a wasteful number, since it uses less digits than its factorization.

4026739104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138550 (or 138539 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4026739104 is about 63456.5922816534. The cubic root of 4026739104 is about 1590.9303395974.

The spelling of 4026739104 in words is "four billion, twenty-six million, seven hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 606 808 909 1212 1616 1818 2424 3232 3636 4848 7272 9696 14544 29088 138433 276866 415299 553732 830598 1107464 1245897 1661196 2214928 2491794 3322392 4429856 4983588 6644784 9967176 13289568 13981733 19934352 27963466 39868704 41945199 55926932 83890398 111853864 125835597 167780796 223707728 251671194 335561592 447415456 503342388 671123184 1006684776 1342246368 2013369552 4026739104