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500649240 = 2335713192127
BaseRepresentation
bin11101110101110…
…100110100011000
31021220001121122110
4131311310310120
52011131233430
6121402352320
715256306530
oct3565646430
91256047573
10500649240
11237670203
1211b7bb6a0
137c951770
144a6c44c0
152de457b0
hex1dd74d18

500649240 has 384 divisors, whose sum is σ = 1966325760. Its totient is φ = 99283968.

The previous prime is 500649239. The next prime is 500649241. The reversal of 500649240 is 42946005.

It is an interprime number because it is at equal distance from previous prime (500649239) and next prime (500649241).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 500649198 and 500649207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500649241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3942057 + ... + 3942183.

It is an arithmetic number, because the mean of its divisors is an integer number (5120640).

Almost surely, 2500649240 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 500649240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983162880).

500649240 is an abundant number, since it is smaller than the sum of its proper divisors (1465676520).

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

500649240 is a wasteful number, since it uses less digits than its factorization.

500649240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 500649240 is about 22375.1925131383. The cubic root of 500649240 is about 794.0439121533.

The spelling of 500649240 in words is "five hundred million, six hundred forty-nine thousand, two hundred forty".