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3898780416 = 283223294359
BaseRepresentation
bin1110100001100010…
…1010101100000000
3101001201020120021200
43220120222230000
530441041433131
61442512221200
7165421041516
oct35030525400
911051216250
103898780416
11172083a483
1290983a800
134a1971a7b
1428db264b6
1517c42e2e6
hexe862ab00

3898780416 has 432 divisors, whose sum is σ = 12627014400. Its totient is φ = 1152442368.

The previous prime is 3898780409. The next prime is 3898780421. The reversal of 3898780416 is 6140878983.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66080995 + ... + 66081053.

It is an arithmetic number, because the mean of its divisors is an integer number (29229200).

Almost surely, 23898780416 is an apocalyptic number.

3898780416 is a gapful number since it is divisible by the number (36) 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 3898780416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6313507200).

3898780416 is an abundant number, since it is smaller than the sum of its proper divisors (8728233984).

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

3898780416 is a wasteful number, since it uses less digits than its factorization.

3898780416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 3898780416 is about 62440.2147337755. The cubic root of 3898780416 is about 1573.8968226443.

The spelling of 3898780416 in words is "three billion, eight hundred ninety-eight million, seven hundred eighty thousand, four hundred sixteen".