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500228352 = 28331319293
BaseRepresentation
bin11101110100001…
…110000100000000
31021212021020022000
4131310032010000
52011024301402
6121345344000
715252604461
oct3564160400
91255236260
10500228352
11237402a68
1211b638000
137c835010
144a614d68
152ddb0c1c
hex1dd0e100

500228352 has 288 divisors, whose sum is σ = 1682620800. Its totient is φ = 145317888.

The previous prime is 500228341. The next prime is 500228387. The reversal of 500228352 is 253822005.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 1707118 + ... + 1707410.

Almost surely, 2500228352 is an apocalyptic number.

500228352 is a gapful number since it is divisible by the number (52) 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 500228352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841310400).

500228352 is an abundant number, since it is smaller than the sum of its proper divisors (1182392448).

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

500228352 is a wasteful number, since it uses less digits than its factorization.

500228352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 500228352 is about 22365.7852980842. The cubic root of 500228352 is about 793.8213363294.

The spelling of 500228352 in words is "five hundred million, two hundred twenty-eight thousand, three hundred fifty-two".