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4208506680 = 2335729315573
BaseRepresentation
bin1111101011011000…
…1011011100111000
3101212022001021211210
43322312023130320
532104334203210
61533334523120
7206201500530
oct37266133470
911768037753
104208506680
11186a6573a4
129955064a0
13520b96951
142bcd0c4c0
1519970ee20
hexfad8b738

4208506680 has 256 divisors, whose sum is σ = 15410995200. Its totient is φ = 898652160.

The previous prime is 4208506667. The next prime is 4208506697. The reversal of 4208506680 is 866058024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 752374 + ... + 757946.

It is an arithmetic number, because the mean of its divisors is an integer number (60199200).

Almost surely, 24208506680 is an apocalyptic number.

4208506680 is a gapful number since it is divisible by the number (40) 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 4208506680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705497600).

4208506680 is an abundant number, since it is smaller than the sum of its proper divisors (11202488520).

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

4208506680 is a wasteful number, since it uses less digits than its factorization.

4208506680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5654 (or 5650 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 4208506680 is about 64873.0042467589. The cubic root of 4208506680 is about 1614.5171909019.

The spelling of 4208506680 in words is "four billion, two hundred eight million, five hundred six thousand, six hundred eighty".