Search a number
-
+
5575673400 = 23352112929131
BaseRepresentation
bin1010011000101011…
…00000011000111000
3112101120121120000020
411030111200120320
542404333022100
62321134010440
7255112304403
oct51425403070
915346546006
105575673400
11240135aa50
1210b7346a20
136ab1ba93b
143ac714d3a
1522976b5a0
hex14c560638

5575673400 has 192 divisors, whose sum is σ = 19506787200. Its totient is φ = 1305024000.

The previous prime is 5575673357. The next prime is 5575673407. The reversal of 5575673400 is 43765755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5575673407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176835 + ... + 205965.

It is an arithmetic number, because the mean of its divisors is an integer number (101597850).

Almost surely, 25575673400 is an apocalyptic number.

5575673400 is a gapful number since it is divisible by the number (50) 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 5575673400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9753393600).

5575673400 is an abundant number, since it is smaller than the sum of its proper divisors (13931113800).

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

5575673400 is a wasteful number, since it uses less digits than its factorization.

5575673400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29190 (or 29181 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 42.

The square root of 5575673400 is about 74670.4318991125. The cubic root of 5575673400 is about 1773.2328799386.

The spelling of 5575673400 in words is "five billion, five hundred seventy-five million, six hundred seventy-three thousand, four hundred".