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683486400 = 263522341151
BaseRepresentation
bin101000101111010…
…010110011000000
31202122002201002010
4220233102303000
52344433031100
6151453252520
722636352502
oct5057226300
91678081063
10683486400
113208a04a3
12170a94140
13ab7a9b2c
1466ab9d72
154000e750
hex28bd2cc0

683486400 has 336 divisors, whose sum is σ = 2412845568. Its totient is φ = 168960000.

The previous prime is 683486389. The next prime is 683486467. The reversal of 683486400 is 4684386.

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 47 ways as a sum of consecutive naturals, for example, 4526325 + ... + 4526475.

It is an arithmetic number, because the mean of its divisors is an integer number (7181088).

Almost surely, 2683486400 is an apocalyptic number.

683486400 is a gapful number since it is divisible by the number (60) 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 683486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206422784).

683486400 is an abundant number, since it is smaller than the sum of its proper divisors (1729359168).

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

683486400 is a wasteful number, since it uses less digits than its factorization.

683486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 683486400 is about 26143.5728239275. The cubic root of 683486400 is about 880.8662269406.

The spelling of 683486400 in words is "six hundred eighty-three million, four hundred eighty-six thousand, four hundred".