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3839681472 = 2631117229467
BaseRepresentation
bin1110010011011100…
…1110001111000000
3100220121001000202220
43210313032033000
530330424301342
61433001411040
7164102516424
oct34467161700
910817030686
103839681472
1116a0444580
128b1a99a80
1349264bc93
14285d40b84
151771585ec
hexe4dce3c0

3839681472 has 224 divisors, whose sum is σ = 11811121920. Its totient is φ = 1087979520.

The previous prime is 3839681471. The next prime is 3839681501. The reversal of 3839681472 is 2741869383.

3839681472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3839681471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8221783 + ... + 8222249.

Almost surely, 23839681472 is an apocalyptic number.

3839681472 is a gapful number since it is divisible by the number (32) 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 3839681472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905560960).

3839681472 is an abundant number, since it is smaller than the sum of its proper divisors (7971440448).

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

3839681472 is a wasteful number, since it uses less digits than its factorization.

3839681472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 729 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 3839681472 is about 61965.1633742702. The cubic root of 3839681472 is about 1565.9037568342.

The spelling of 3839681472 in words is "three billion, eight hundred thirty-nine million, six hundred eighty-one thousand, four hundred seventy-two".