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682215072 = 253711412251
BaseRepresentation
bin101000101010011…
…100011010100000
31202112201010010220
4220222130122200
52344121340242
6151410123040
722622506140
oct5052343240
91675633126
10682215072
11320102310
12170580480
13ab453276
1466868920
153ed5cbec
hex28a9c6a0

682215072 has 192 divisors, whose sum is σ = 2288176128. Its totient is φ = 172800000.

The previous prime is 682215059. The next prime is 682215077. The reversal of 682215072 is 270512286.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (682215077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301947 + ... + 304197.

It is an arithmetic number, because the mean of its divisors is an integer number (11917584).

Almost surely, 2682215072 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 682215072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144088064).

682215072 is an abundant number, since it is smaller than the sum of its proper divisors (1605961056).

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

682215072 is a wasteful number, since it uses less digits than its factorization.

682215072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 682215072 is about 26119.2471560725. The cubic root of 682215072 is about 880.3197323018.

The spelling of 682215072 in words is "six hundred eighty-two million, two hundred fifteen thousand, seventy-two".