Search a number
-
+
52988423904 = 2532131719431019
BaseRepresentation
bin110001010110010110…
…110010111011100000
312001202212001211112200
4301112112302323200
51332010014031104
640201553453200
73554050112613
oct612626627340
9161685054480
1052988423904
1120521647179
12a329871200
134cc5c301b0
1427c95a217a
1515a1dedb39
hexc565b2ee0

52988423904 has 576 divisors, whose sum is σ = 185253868800. Its totient is φ = 14185414656.

The previous prime is 52988423869. The next prime is 52988423909. The reversal of 52988423904 is 40932488925.

52988423904 is a `hidden beast` number, since 52 + 9 + 88 + 423 + 90 + 4 = 666.

52988423904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52988423909) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51999907 + ... + 52000925.

It is an arithmetic number, because the mean of its divisors is an integer number (321621300).

Almost surely, 252988423904 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 52988423904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92626934400).

52988423904 is an abundant number, since it is smaller than the sum of its proper divisors (132265444896).

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

52988423904 is a wasteful number, since it uses less digits than its factorization.

52988423904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 52988423904 in words is "fifty-two billion, nine hundred eighty-eight million, four hundred twenty-three thousand, nine hundred four".