Search a number
-
+
252705788280 = 233351144348017
BaseRepresentation
bin1110101101011001110…
…0000101000101111000
3220011021111112010212000
43223112130011011320
513120020140211110
6312031430021000
724154166521221
oct3532634050570
9804244463760
10252705788280
1198198914010
1240b867a7760
131aaa382114a
14c333d10248
1568906441c0
hex3ad6705178

252705788280 has 256 divisors, whose sum is σ = 921023654400. Its totient is φ = 61122447360.

The previous prime is 252705788191. The next prime is 252705788287. The reversal of 252705788280 is 82887507252.

252705788280 is a `hidden beast` number, since 25 + 27 + 0 + 578 + 8 + 28 + 0 = 666.

252705788280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252705788287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5238832 + ... + 5286848.

It is an arithmetic number, because the mean of its divisors is an integer number (3597748650).

Almost surely, 2252705788280 is an apocalyptic number.

252705788280 is a gapful number since it is divisible by the number (20) 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 252705788280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460511827200).

252705788280 is an abundant number, since it is smaller than the sum of its proper divisors (668317866120).

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

252705788280 is a wasteful number, since it uses less digits than its factorization.

252705788280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48491 (or 48481 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 252705788280 in words is "two hundred fifty-two billion, seven hundred five million, seven hundred eighty-eight thousand, two hundred eighty".