Search a number
-
+
928248020 = 225725725799
BaseRepresentation
bin110111010100111…
…111000011010100
32101200122212220022
4313110333003110
53400112414040
6232035324312
732000656310
oct6724770324
92350585808
10928248020
11436a76527
1221aa50698
1311a4070ab
148b3d0b40
155675b6b5
hex3753f0d4

928248020 has 48 divisors (see below), whose sum is σ = 2236550400. Its totient is φ = 317005824.

The previous prime is 928248019. The next prime is 928248031. The reversal of 928248020 is 20842829.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23081 + ... + 48879.

It is an arithmetic number, because the mean of its divisors is an integer number (46594800).

Almost surely, 2928248020 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 928248020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118275200).

928248020 is an abundant number, since it is smaller than the sum of its proper divisors (1308302380).

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

928248020 is a wasteful number, since it uses less digits than its factorization.

928248020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26072 (or 26070 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 928248020 is about 30467.1629791814. The cubic root of 928248020 is about 975.4866805436.

The spelling of 928248020 in words is "nine hundred twenty-eight million, two hundred forty-eight thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 257 514 1028 1285 1799 2570 3598 5140 7196 8995 17990 25799 35980 51598 103196 128995 180593 257990 361186 515980 722372 902965 1805930 3611860 6630343 13260686 26521372 33151715 46412401 66303430 92824802 132606860 185649604 232062005 464124010 928248020