Search a number
-
+
4042500960 = 25358421877
BaseRepresentation
bin1111000011110011…
…1010101101100000
3101102201200022210210
43300330322231200
531234340012320
61505044454120
7202114456041
oct36074725540
911381608723
104042500960
111794982893
129499aa340
134c5682704
142a4c588c8
15189d6d0e0
hexf0f3ab60

4042500960 has 48 divisors (see below), whose sum is σ = 12733879536. Its totient is φ = 1078000128.

The previous prime is 4042500937. The next prime is 4042501003. The reversal of 4042500960 is 690052404.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4210459 + ... + 4211418.

It is an arithmetic number, because the mean of its divisors is an integer number (265289157).

Almost surely, 24042500960 is an apocalyptic number.

4042500960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042500960 is an abundant number, since it is smaller than the sum of its proper divisors (8691378576).

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

4042500960 is a wasteful number, since it uses less digits than its factorization.

4042500960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8421895 (or 8421887 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4042500960 is about 63580.6649855127. The cubic root of 4042500960 is about 1593.0034287568.

The spelling of 4042500960 in words is "four billion, forty-two million, five hundred thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8421877 16843754 25265631 33687508 42109385 50531262 67375016 84218770 101062524 126328155 134750032 168437540 202125048 252656310 269500064 336875080 404250096 505312620 673750160 808500192 1010625240 1347500320 2021250480 4042500960