[go: up one dir, main page]

Search a number
-
+
4775871240 = 233357290247
BaseRepresentation
bin1000111001010101…
…00000001100001000
3110022211122101201000
410130222200030020
534240110334430
62105523255000
7226231143600
oct43452401410
913284571630
104775871240
112030944828
12b1351a460
135b15a6b1a
143343dbc00
151ce432e60
hex11caa0308

4775871240 has 192 divisors, whose sum is σ = 18518889600. Its totient is φ = 1091615616.

The previous prime is 4775871229. The next prime is 4775871241. The reversal of 4775871240 is 421785774.

4775871240 is a `hidden beast` number, since 47 + 7 + 587 + 1 + 24 + 0 = 666.

It is a super-2 number, since 2×47758712402 = 45617892202118275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4775871241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7797 + ... + 98043.

It is an arithmetic number, because the mean of its divisors is an integer number (96452550).

Almost surely, 24775871240 is an apocalyptic number.

4775871240 is a gapful number since it is divisible by the number (40) 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 4775871240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9259444800).

4775871240 is an abundant number, since it is smaller than the sum of its proper divisors (13743018360).

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

4775871240 is a wasteful number, since it uses less digits than its factorization.

4775871240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90281 (or 90264 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The square root of 4775871240 is about 69107.6785892856. The cubic root of 4775871240 is about 1684.0340555774.

The spelling of 4775871240 in words is "four billion, seven hundred seventy-five million, eight hundred seventy-one thousand, two hundred forty".