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3992448 = 27337281
BaseRepresentation
bin1111001110101110000000
321111211121110
433032232000
52010224243
6221323320
745635535
oct17165600
97454543
103992448
112287649
121406540
13a9a2c5
1475cd8c
1553ce33
hex3ceb80

3992448 has 64 divisors (see below), whose sum is σ = 10930320. Its totient is φ = 1290240.

The previous prime is 3992447. The next prime is 3992453. The reversal of 3992448 is 8442993.

3992448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3992441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14068 + ... + 14348.

Almost surely, 23992448 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 3992448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465160).

3992448 is an abundant number, since it is smaller than the sum of its proper divisors (6937872).

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

3992448 is a wasteful number, since it uses less digits than its factorization.

3992448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 3992448 is about 1998.1111080218. Note that the first 4 decimals coincide. The cubic root of 3992448 is about 158.6401418206.

The spelling of 3992448 in words is "three million, nine hundred ninety-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 281 296 384 444 562 592 843 888 1124 1184 1686 1776 2248 2368 3372 3552 4496 4736 6744 7104 8992 10397 13488 14208 17984 20794 26976 31191 35968 41588 53952 62382 83176 107904 124764 166352 249528 332704 499056 665408 998112 1330816 1996224 3992448