Search a number
-
+
5872384980 = 22345711179263
BaseRepresentation
bin1010111100000010…
…10111101111010100
3120011020221001210000
411132001113233110
544011312304410
62410413331300
7265344306630
oct53601275724
916136831700
105872384980
112543898830
12117a796b30
13727806a17
143d9caddc0
1524582adc0
hex15e057bd4

5872384980 has 480 divisors, whose sum is σ = 23183677440. Its totient is φ = 1208805120.

The previous prime is 5872384939. The next prime is 5872384997. The reversal of 5872384980 is 894832785.

It is a happy number.

5872384980 is a `hidden beast` number, since 58 + 72 + 38 + 498 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22328329 + ... + 22328591.

It is an arithmetic number, because the mean of its divisors is an integer number (48299328).

Almost surely, 25872384980 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 5872384980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11591838720).

5872384980 is an abundant number, since it is smaller than the sum of its proper divisors (17311292460).

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

5872384980 is a wasteful number, since it uses less digits than its factorization.

5872384980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 5872384980 is about 76631.4881755535. The cubic root of 5872384980 is about 1804.1452797030.

The spelling of 5872384980 in words is "five billion, eight hundred seventy-two million, three hundred eighty-four thousand, nine hundred eighty".