Search a number
-
+
5192994240 = 26345728621
BaseRepresentation
bin1001101011000011…
…01100110111000000
3111101220112102220000
410311201230313000
541113401303430
62215143520000
7242454502620
oct46541546700
914356472800
105192994240
112225345485
12100b159000
13649b32175
1437397c880
15205d79e60
hex13586cdc0

5192994240 has 280 divisors, whose sum is σ = 21112045152. Its totient is φ = 1186928640.

The previous prime is 5192994229. The next prime is 5192994281. The reversal of 5192994240 is 424992915.

5192994240 is a `hidden beast` number, since 51 + 92 + 99 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167130 + ... + 195750.

Almost surely, 25192994240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5192994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10556022576).

5192994240 is an abundant number, since it is smaller than the sum of its proper divisors (15919050912).

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

5192994240 is a wasteful number, since it uses less digits than its factorization.

5192994240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28657 (or 28638 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 5192994240 is about 72062.4329314519. The cubic root of 5192994240 is about 1731.6998272619.

The spelling of 5192994240 in words is "five billion, one hundred ninety-two million, nine hundred ninety-four thousand, two hundred forty".