Search a number
-
+
52420654080 = 2103252694229
BaseRepresentation
bin110000110100100000…
…111011010000000000
312000022021201010202200
4300310200323100000
51324324141412310
640025352313200
73534014131164
oct606440732000
9160267633680
1052420654080
1120260102313
12a1ab6a2800
134c3540a712
142774008ca4
15156c14a9c0
hexc3483b400

52420654080 has 264 divisors, whose sum is σ = 182354538600. Its totient is φ = 13923581952.

The previous prime is 52420654073. The next prime is 52420654087. The reversal of 52420654080 is 8045602425.

It is a happy number.

52420654080 is a `hidden beast` number, since 5 + 242 + 0 + 6 + 5 + 408 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52420654073) and next prime (52420654087).

It can be written as a sum of positive squares in 4 ways, for example, as 8742998016 + 43677656064 = 93504^2 + 208992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52420654087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12393406 + ... + 12397634.

Almost surely, 252420654080 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 52420654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91177269300).

52420654080 is an abundant number, since it is smaller than the sum of its proper divisors (129933884520).

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

52420654080 is a wasteful number, since it uses less digits than its factorization.

52420654080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4529 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 52420654080 in words is "fifty-two billion, four hundred twenty million, six hundred fifty-four thousand, eighty".