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3985696 = 251113267
BaseRepresentation
bin1111001101000100100000
321111111100101
433031010200
52010020241
6221232144
745610051
oct17150440
97444311
103985696
112282570
121402654
13a97200
1475a728
1553ae31
hex3cd120

3985696 has 72 divisors (see below), whose sum is σ = 9407664. Its totient is φ = 1647360.

The previous prime is 3985669. The next prime is 3985697. The reversal of 3985696 is 6965893.

It is a d-powerful number, because it can be written as 312 + 92 + 85 + 55 + 68 + 95 + 68 .

It is a nialpdrome in base 9 and base 13.

It is not an unprimeable number, because it can be changed into a prime (3985697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59455 + ... + 59521.

It is an arithmetic number, because the mean of its divisors is an integer number (130662).

Almost surely, 23985696 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 3985696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703832).

3985696 is an abundant number, since it is smaller than the sum of its proper divisors (5421968).

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

3985696 is a wasteful number, since it uses less digits than its factorization.

3985696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its digits is 349920, while the sum is 46.

The square root of 3985696 is about 1996.4207973271. The cubic root of 3985696 is about 158.5506609942.

The spelling of 3985696 in words is "three million, nine hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 67 88 104 134 143 169 176 208 268 286 338 352 416 536 572 676 737 871 1072 1144 1352 1474 1742 1859 2144 2288 2704 2948 3484 3718 4576 5408 5896 6968 7436 9581 11323 11792 13936 14872 19162 22646 23584 27872 29744 38324 45292 59488 76648 90584 124553 153296 181168 249106 306592 362336 498212 996424 1992848 3985696