Search a number
-
+
652048992 = 253271929587
BaseRepresentation
bin100110110111010…
…111101001100000
31200102221112001200
4212313113221200
52313411031432
6144411401200
722105216320
oct4667275140
91612845050
10652048992
11305079071
12162453200
13a512080a
1462855280
153c39ea7c
hex26dd7a60

652048992 has 288 divisors, whose sum is σ = 2311545600. Its totient is φ = 170118144.

The previous prime is 652048961. The next prime is 652048993. The reversal of 652048992 is 299840256.

652048992 is a `hidden beast` number, since 65 + 20 + 489 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652048993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1110523 + ... + 1111109.

It is an arithmetic number, because the mean of its divisors is an integer number (8026200).

Almost surely, 2652048992 is an apocalyptic number.

652048992 is the 12768-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 652048992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155772800).

652048992 is an abundant number, since it is smaller than the sum of its proper divisors (1659496608).

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

652048992 is a wasteful number, since it uses less digits than its factorization.

652048992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 652048992 is about 25535.2499889858. The cubic root of 652048992 is about 867.1483644360.

The spelling of 652048992 in words is "six hundred fifty-two million, forty-eight thousand, nine hundred ninety-two".