Search a number
-
+
5852977920 = 283351631039
BaseRepresentation
bin1010111001101110…
…10101101100000000
3120002220102002022000
411130313111230000
543441330243140
62404441344000
7265020330366
oct53467255400
916086362260
105852977920
112533942a39
121174198000
137237a045a
143d749b636
15243c95a30
hex15cdd5b00

5852977920 has 288 divisors, whose sum is σ = 20917478400. Its totient is φ = 1549725696.

The previous prime is 5852977913. The next prime is 5852977927. The reversal of 5852977920 is 297792585.

It is an interprime number because it is at equal distance from previous prime (5852977913) and next prime (5852977927).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (5852977927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5632761 + ... + 5633799.

Almost surely, 25852977920 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 5852977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10458739200).

5852977920 is an abundant number, since it is smaller than the sum of its proper divisors (15064500480).

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

5852977920 is a wasteful number, since it uses less digits than its factorization.

5852977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 5852977920 is about 76504.7574991255. The cubic root of 5852977920 is about 1802.1556396460.

The spelling of 5852977920 in words is "five billion, eight hundred fifty-two million, nine hundred seventy-seven thousand, nine hundred twenty".