Search a number
-
+
52676490240 = 210365111283
BaseRepresentation
bin110001000011110000…
…110111010000000000
312000222010002222000000
4301003300313100000
51330340140141430
640111012000000
73543241531203
oct610360672000
9160863088000
1052676490240
1120381561860
12a261300000
134c7641466a
142799da393a
151584833e60
hexc43c37400

52676490240 has 616 divisors, whose sum is σ = 206840474208. Its totient is φ = 12760104960.

The previous prime is 52676490239. The next prime is 52676490263. The reversal of 52676490240 is 4209467625.

52676490240 is a `hidden beast` number, since 5 + 267 + 64 + 90 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 41056639 + ... + 41057921.

Almost surely, 252676490240 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 52676490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103420237104).

52676490240 is an abundant number, since it is smaller than the sum of its proper divisors (154163983968).

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

52676490240 is a wasteful number, since it uses less digits than its factorization.

52676490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 52676490240 in words is "fifty-two billion, six hundred seventy-six million, four hundred ninety thousand, two hundred forty".