Search a number
-
+
708727968 = 2537131941
BaseRepresentation
bin101010001111100…
…101010010100000
31211101121010000000
4222033211102200
52422413243333
6154154300000
723364042204
oct5217452240
91741533000
10708727968
113340708a3
12179427600
13b3aa6c80
146a1aab04
1542348713
hex2a3e54a0

708727968 has 384 divisors, whose sum is σ = 2430086400. Its totient is φ = 201553920.

The previous prime is 708727967. The next prime is 708727969. The reversal of 708727968 is 869727807.

It is an interprime number because it is at equal distance from previous prime (708727967) and next prime (708727969).

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

It is not an unprimeable number, because it can be changed into a prime (708727961) 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 63 ways as a sum of consecutive naturals, for example, 17286028 + ... + 17286068.

It is an arithmetic number, because the mean of its divisors is an integer number (6328350).

Almost surely, 2708727968 is an apocalyptic number.

708727968 is a gapful number since it is divisible by the number (78) 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 708727968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215043200).

708727968 is an abundant number, since it is smaller than the sum of its proper divisors (1721358432).

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

708727968 is a wasteful number, since it uses less digits than its factorization.

708727968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 708727968 is about 26621.9452332094. The cubic root of 708727968 is about 891.5790542658.

The spelling of 708727968 in words is "seven hundred eight million, seven hundred twenty-seven thousand, nine hundred sixty-eight".