Search a number
-
+
5428976300 = 2252115219473
BaseRepresentation
bin1010000111001011…
…11001101010101100
3112000100120120102022
411003211321222230
542104304220200
62254413445312
7251351352146
oct50345715254
915010516368
105428976300
112336574280
1210761a0838
136869a7217
14397049c96
1521b940885
hex143979aac

5428976300 has 72 divisors (see below), whose sum is σ = 12877894512. Its totient is φ = 1970176000.

The previous prime is 5428976279. The next prime is 5428976351. The reversal of 5428976300 is 36798245.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 23 ways as a sum of consecutive naturals, for example, 568364 + ... + 577836.

It is an arithmetic number, because the mean of its divisors is an integer number (178859646).

Almost surely, 25428976300 is an apocalyptic number.

5428976300 is a gapful number since it is divisible by the number (50) 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 5428976300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6438947256).

5428976300 is an abundant number, since it is smaller than the sum of its proper divisors (7448918212).

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

5428976300 is a wasteful number, since it uses less digits than its factorization.

5428976300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10019 (or 10012 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 5428976300 is about 73681.5872521758. The cubic root of 5428976300 is about 1757.5430917105.

The spelling of 5428976300 in words is "five billion, four hundred twenty-eight million, nine hundred seventy-six thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 521 550 1042 1100 2084 2605 5210 5731 9473 10420 11462 13025 18946 22924 26050 28655 37892 47365 52100 57310 94730 104203 114620 143275 189460 208406 236825 286550 416812 473650 521015 573100 947300 1042030 2084060 2605075 4935433 5210150 9870866 10420300 19741732 24677165 49354330 54289763 98708660 108579526 123385825 217159052 246771650 271448815 493543300 542897630 1085795260 1357244075 2714488150 5428976300