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3997696 = 21661
BaseRepresentation
bin1111010000000000000000
321112002210211
433100000000
52010411241
6221403504
745660043
oct17200000
97462724
103997696
11229058a
121409594
13a9c801
14760c5a
1553e781
hex3d0000

3997696 has 34 divisors (see below), whose sum is σ = 8126402. Its totient is φ = 1966080.

The previous prime is 3997673. The next prime is 3997723. The reversal of 3997696 is 6967993.

It can be written as a sum of positive squares in only one way, i.e., 2359296 + 1638400 = 1536^2 + 1280^2 .

It is an Ulam number.

Its product of digits (551124) is a multiple of the sum of its prime divisors (63).

It is a nialpdrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65506 + ... + 65566.

Almost surely, 23997696 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 3997696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063201).

3997696 is an abundant number, since it is smaller than the sum of its proper divisors (4128706).

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

3997696 is an frugal number, since it uses more digits than its factorization.

3997696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 63 counting only the distinct ones).

The product of its digits is 551124, while the sum is 49.

The square root of 3997696 is about 1999.4239170321. The cubic root of 3997696 is about 158.7096212430.

The spelling of 3997696 in words is "three million, nine hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1024 1952 2048 3904 4096 7808 8192 15616 16384 31232 32768 62464 65536 124928 249856 499712 999424 1998848 3997696