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3936048 = 243431907
BaseRepresentation
bin1111000000111100110000
321101222020120
433000330300
52001423143
6220210240
745312234
oct17007460
97358216
103936048
112249236
121399980
13a7a72c
147465c4
1552b383
hex3c0f30

3936048 has 40 divisors (see below), whose sum is σ = 10410048. Its totient is φ = 1280832.

The previous prime is 3936043. The next prime is 3936103. The reversal of 3936048 is 8406393.

3936048 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3936043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1111 + ... + 3017.

Almost surely, 23936048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3936048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205024).

3936048 is an abundant number, since it is smaller than the sum of its proper divisors (6474000).

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

3936048 is a wasteful number, since it uses less digits than its factorization.

3936048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3936048 is about 1983.9475799527. The cubic root of 3936048 is about 157.8895772817.

It can be divided in two parts, 393 and 6048, that added together give a triangular number (6441 = T113).

The spelling of 3936048 in words is "three million, nine hundred thirty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 1907 2064 3814 5721 7628 11442 15256 22884 30512 45768 82001 91536 164002 246003 328004 492006 656008 984012 1312016 1968024 3936048