Search a number
-
+
5212477764 = 223313233141127
BaseRepresentation
bin1001101101011000…
…00001100101000100
3111110021012022021000
410312230001211010
541133343242024
62221121253300
7243112221114
oct46654014504
914407168230
105212477764
11223534276a
121015794230
13650b94490
143763b1044
15207927cc9
hex136b01944

5212477764 has 384 divisors, whose sum is σ = 16184770560. Its totient is φ = 1437004800.

The previous prime is 5212477757. The next prime is 5212477769. The reversal of 5212477764 is 4677742125.

Its product of digits (658560) is a multiple of the sum of its prime divisors (240).

It is not an unprimeable number, because it can be changed into a prime (5212477769) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 41043069 + ... + 41043195.

It is an arithmetic number, because the mean of its divisors is an integer number (42147840).

Almost surely, 25212477764 is an apocalyptic number.

5212477764 is a gapful number since it is divisible by the number (54) 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 5212477764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8092385280).

5212477764 is an abundant number, since it is smaller than the sum of its proper divisors (10972292796).

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

5212477764 is a wasteful number, since it uses less digits than its factorization.

5212477764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its digits is 658560, while the sum is 45.

The square root of 5212477764 is about 72197.4913968623. The cubic root of 5212477764 is about 1733.8628380149.

The spelling of 5212477764 in words is "five billion, two hundred twelve million, four hundred seventy-seven thousand, seven hundred sixty-four".