Search a number
-
+
538819024 = 24192337607
BaseRepresentation
bin100000000111011…
…011100111010000
31101112212211202011
4200013123213100
52100414202044
6125244432304
716231612642
oct4007334720
91345784664
10538819024
11257170787
12130548694
1387827233
14517bc892
1532485134
hex201db9d0

538819024 has 40 divisors (see below), whose sum is σ = 1103768640. Its totient is φ = 254101248.

The previous prime is 538819019. The next prime is 538819037. The reversal of 538819024 is 420918835.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 67029 + ... + 74635.

It is an arithmetic number, because the mean of its divisors is an integer number (27594216).

Almost surely, 2538819024 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 538819024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551884320).

538819024 is an abundant number, since it is smaller than the sum of its proper divisors (564949616).

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

538819024 is a wasteful number, since it uses less digits than its factorization.

538819024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7867 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 538819024 is about 23212.4756111880. The cubic root of 538819024 is about 813.7312105669.

The spelling of 538819024 in words is "five hundred thirty-eight million, eight hundred nineteen thousand, twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 233 304 466 932 1864 3728 4427 7607 8854 15214 17708 30428 35416 60856 70832 121712 144533 289066 578132 1156264 1772431 2312528 3544862 7089724 14179448 28358896 33676189 67352378 134704756 269409512 538819024