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3985416 = 233318451
BaseRepresentation
bin1111001101000000001000
321111110222000
433031000020
52010013131
6221231000
745606201
oct17150010
97443860
103985416
112282336
121402460
13a97046
1475a5a8
1553ace6
hex3cd008

3985416 has 32 divisors (see below), whose sum is σ = 11071200. Its totient is φ = 1328400.

The previous prime is 3985409. The next prime is 3985433. The reversal of 3985416 is 6145893.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9010 + ... + 9441.

It is an arithmetic number, because the mean of its divisors is an integer number (345975).

Almost surely, 23985416 is an apocalyptic number.

3985416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3985416 is an abundant number, since it is smaller than the sum of its proper divisors (7085784).

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

3985416 is a wasteful number, since it uses less digits than its factorization.

3985416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18466 (or 18456 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 3985416 is about 1996.3506705987. The cubic root of 3985416 is about 158.5469481148.

The spelling of 3985416 in words is "three million, nine hundred eighty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 18451 36902 55353 73804 110706 147608 166059 221412 332118 442824 498177 664236 996354 1328472 1992708 3985416