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3782428650 = 2355271113311
BaseRepresentation
bin1110000101110011…
…0100011111101010
3100202121022021200000
43201130310133222
530221300204100
61423154323430
7162506053530
oct34134643752
910677267600
103782428650
11167109a6a0
12896889576
13483824580
1427c4ba150
151720e9900
hexe17347ea

3782428650 has 576 divisors, whose sum is σ = 14195091456. Its totient is φ = 723168000.

The previous prime is 3782428649. The next prime is 3782428703. The reversal of 3782428650 is 568242873.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3782428596 and 3782428605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12161995 + ... + 12162305.

It is an arithmetic number, because the mean of its divisors is an integer number (24644256).

Almost surely, 23782428650 is an apocalyptic number.

3782428650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3782428650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097545728).

3782428650 is an abundant number, since it is smaller than the sum of its proper divisors (10412662806).

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

3782428650 is a wasteful number, since it uses less digits than its factorization.

3782428650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3782428650 is about 61501.4524218737. The cubic root of 3782428650 is about 1558.0817768771.

The spelling of 3782428650 in words is "three billion, seven hundred eighty-two million, four hundred twenty-eight thousand, six hundred fifty".