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483690240 = 28325112347
BaseRepresentation
bin11100110101001…
…000011100000000
31020201011000021100
4130311020130000
51442311041430
6115555054400
714662204425
oct3465103400
91221130240
10483690240
11229037700
12115ba1400
1379294557
144834bd4c
152c6e5960
hex1cd48700

483690240 has 324 divisors, whose sum is σ = 1844787672. Its totient is φ = 116920320.

The previous prime is 483690227. The next prime is 483690257. The reversal of 483690240 is 42096384.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 483690195 and 483690204.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1393747 + ... + 1394093.

Almost surely, 2483690240 is an apocalyptic number.

483690240 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 483690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922393836).

483690240 is an abundant number, since it is smaller than the sum of its proper divisors (1361097432).

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

483690240 is a wasteful number, since it uses less digits than its factorization.

483690240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 483690240 is about 21992.9588732394. The cubic root of 483690240 is about 784.9749082545.

The spelling of 483690240 in words is "four hundred eighty-three million, six hundred ninety thousand, two hundred forty".