Search a number
-
+
5422939200 = 263352779227
BaseRepresentation
bin1010000110011101…
…10111110001000000
3111222221012212002000
411003032313301000
542101233023300
62254040224000
7251246136240
oct50316676100
914887185060
105422939200
112333120538
12107416b000
13685672383
14396317b20
1521b14bc00
hex1433b7c40

5422939200 has 672 divisors, whose sum is σ = 22979481600. Its totient is φ = 1218447360.

The previous prime is 5422939177. The next prime is 5422939219. The reversal of 5422939200 is 29392245.

5422939200 is a `hidden beast` number, since 542 + 2 + 93 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23889487 + ... + 23889713.

Almost surely, 25422939200 is an apocalyptic number.

5422939200 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 5422939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11489740800).

5422939200 is an abundant number, since it is smaller than the sum of its proper divisors (17556542400).

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

5422939200 is a wasteful number, since it uses less digits than its factorization.

5422939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5422939200 is about 73640.6083625061. The cubic root of 5422939200 is about 1756.8913789848.

The spelling of 5422939200 in words is "five billion, four hundred twenty-two million, nine hundred thirty-nine thousand, two hundred".