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4052419680 = 253523593619
BaseRepresentation
bin1111000110001011…
…0000010001100000
3101110102100020201210
43301202300101200
531244404412210
61510041230120
7202264666431
oct36142602140
911412306653
104052419680
11179a537981
12951192340
134c774628a
142a62bb488
1518ab7be20
hexf18b0460

4052419680 has 192 divisors, whose sum is σ = 13364144640. Its totient is φ = 1030250496.

The previous prime is 4052419619. The next prime is 4052419711. The reversal of 4052419680 is 869142504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6546411 + ... + 6547029.

It is an arithmetic number, because the mean of its divisors is an integer number (69604920).

Almost surely, 24052419680 is an apocalyptic number.

4052419680 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 4052419680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6682072320).

4052419680 is an abundant number, since it is smaller than the sum of its proper divisors (9311724960).

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

4052419680 is a wasteful number, since it uses less digits than its factorization.

4052419680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 4052419680 is about 63658.6182696420. The cubic root of 4052419680 is about 1594.3052342408.

The spelling of 4052419680 in words is "four billion, fifty-two million, four hundred nineteen thousand, six hundred eighty".