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3985536 = 27397107
BaseRepresentation
bin1111001101000010000000
321111111010110
433031002000
52010014121
6221231320
745606432
oct17150200
97444113
103985536
112282435
121402540
13a97109
1475a652
1553ad76
hex3cd080

3985536 has 64 divisors (see below), whose sum is σ = 10795680. Its totient is φ = 1302528.

The previous prime is 3985523. The next prime is 3985537. The reversal of 3985536 is 6355893.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3985494 and 3985503.

It is not an unprimeable number, because it can be changed into a prime (3985537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37195 + ... + 37301.

Almost surely, 23985536 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 3985536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397840).

3985536 is an abundant number, since it is smaller than the sum of its proper divisors (6810144).

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

3985536 is a wasteful number, since it uses less digits than its factorization.

3985536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its digits is 97200, while the sum is 39.

The square root of 3985536 is about 1996.3807252125. The cubic root of 3985536 is about 158.5485393701.

The spelling of 3985536 in words is "three million, nine hundred eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 107 128 192 194 214 291 321 384 388 428 582 642 776 856 1164 1284 1552 1712 2328 2568 3104 3424 4656 5136 6208 6848 9312 10272 10379 12416 13696 18624 20544 20758 31137 37248 41088 41516 62274 83032 124548 166064 249096 332128 498192 664256 996384 1328512 1992768 3985536