Search a number
-
+
648478740 = 2235721319247
BaseRepresentation
bin100110101001110…
…000000000010100
31200012020010121010
4212221300000110
52312002304430
6144203052220
722032656400
oct4651600024
91605203533
10648478740
1130305a748
12161211070
13a4470740
14621a6100
153bde6cb0
hex26a70014

648478740 has 432 divisors, whose sum is σ = 2451762432. Its totient is φ = 126862848.

The previous prime is 648478717. The next prime is 648478741. The reversal of 648478740 is 47874846.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 648478740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648478741) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13797397 + ... + 13797443.

It is an arithmetic number, because the mean of its divisors is an integer number (5675376).

Almost surely, 2648478740 is an apocalyptic number.

648478740 is a gapful number since it is divisible by the number (60) 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 648478740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225881216).

648478740 is an abundant number, since it is smaller than the sum of its proper divisors (1803283692).

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

648478740 is a wasteful number, since it uses less digits than its factorization.

648478740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The square root of 648478740 is about 25465.2457282470. The cubic root of 648478740 is about 865.5627954536.

The spelling of 648478740 in words is "six hundred forty-eight million, four hundred seventy-eight thousand, seven hundred forty".