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3996672 = 21031301
BaseRepresentation
bin1111001111110000000000
321112001101220
433033300000
52010343142
6221355040
745654051
oct17176000
97461356
103996672
11228a839
121408a80
13a9c1c4
14760728
1553e2ec
hex3cfc00

3996672 has 44 divisors (see below), whose sum is σ = 10660776. Its totient is φ = 1331200.

The previous prime is 3996653. The next prime is 3996743. The reversal of 3996672 is 2766993.

3996672 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2422 + ... + 3722.

Almost surely, 23996672 is an apocalyptic number.

3996672 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 3996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330388).

3996672 is an abundant number, since it is smaller than the sum of its proper divisors (6664104).

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

3996672 is a wasteful number, since it uses less digits than its factorization.

3996672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1306 counting only the distinct ones).

The product of its digits is 122472, while the sum is 42.

The square root of 3996672 is about 1999.1678268720. The cubic root of 3996672 is about 158.6960690594.

The spelling of 3996672 in words is "three million, nine hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1301 1536 2602 3072 3903 5204 7806 10408 15612 20816 31224 41632 62448 83264 124896 166528 249792 333056 499584 666112 999168 1332224 1998336 3996672