Search a number
-
+
8619402440 = 23511193179421
BaseRepresentation
bin10000000011100000…
…11010010011001000
3211020200221000022102
420001300122103020
5120123031334230
63543143412532
7423411466115
oct100160322310
924220830272
108619402440
1137234786a0
121806754148
13a7497313c
145baa6190c
15356a9c045
hex201c1a4c8

8619402440 has 256 divisors, whose sum is σ = 23334912000. Its totient is φ = 2830464000.

The previous prime is 8619402397. The next prime is 8619402481. The reversal of 8619402440 is 442049168.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 8619402394 and 8619402403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20473430 + ... + 20473850.

It is an arithmetic number, because the mean of its divisors is an integer number (91152000).

Almost surely, 28619402440 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 8619402440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11667456000).

8619402440 is an abundant number, since it is smaller than the sum of its proper divisors (14715509560).

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

8619402440 is a wasteful number, since it uses less digits than its factorization.

8619402440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 8619402440 is about 92840.7369638996. The cubic root of 8619402440 is about 2050.3392212789.

The spelling of 8619402440 in words is "eight billion, six hundred nineteen million, four hundred two thousand, four hundred forty".