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3985408 = 2127139
BaseRepresentation
bin1111001101000000000000
321111110221201
433031000000
52010013113
6221230544
745606160
oct17150000
97443851
103985408
112282329
121402454
13a9703b
1475a5a0
1553acdd
hex3cd000

3985408 has 52 divisors (see below), whose sum is σ = 9173920. Its totient is φ = 1695744.

The previous prime is 3985403. The next prime is 3985409. The reversal of 3985408 is 8045893.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3985403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28603 + ... + 28741.

Almost surely, 23985408 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 3985408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586960).

3985408 is an abundant number, since it is smaller than the sum of its proper divisors (5188512).

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

3985408 is an equidigital number, since it uses as much as digits as its factorization.

3985408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 3985408 is about 1996.3486669417. The cubic root of 3985408 is about 158.5468420300.

The spelling of 3985408 in words is "three million, nine hundred eighty-five thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 139 224 256 278 448 512 556 896 973 1024 1112 1792 1946 2048 2224 3584 3892 4096 4448 7168 7784 8896 14336 15568 17792 28672 31136 35584 62272 71168 124544 142336 249088 284672 498176 569344 996352 1992704 3985408