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3988608 = 273131747
BaseRepresentation
bin1111001101110010000000
321111122100020
433031302000
52010113413
6221253440
745621411
oct17156200
97448306
103988608
112284778
121404280
13a98630
1475b808
1553bc23
hex3cdc80

3988608 has 128 divisors (see below), whose sum is σ = 12337920. Its totient is φ = 1130496.

The previous prime is 3988601. The next prime is 3988619. The reversal of 3988608 is 8068893.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 3988608.

It is not an unprimeable number, because it can be changed into a prime (3988601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84841 + ... + 84887.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

Almost surely, 23988608 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 3988608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168960).

3988608 is an abundant number, since it is smaller than the sum of its proper divisors (8349312).

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

3988608 is a wasteful number, since it uses less digits than its factorization.

3988608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 3988608 is about 1997.1499693313. The cubic root of 3988608 is about 158.5892646349.

The spelling of 3988608 in words is "three million, nine hundred eighty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 47 48 51 52 64 68 78 94 96 102 104 128 136 141 156 188 192 204 208 221 272 282 312 376 384 408 416 442 544 564 611 624 663 752 799 816 832 884 1088 1128 1222 1248 1326 1504 1598 1632 1664 1768 1833 2176 2256 2397 2444 2496 2652 3008 3196 3264 3536 3666 4512 4794 4888 4992 5304 6016 6392 6528 7072 7332 9024 9588 9776 10387 10608 12784 14144 14664 18048 19176 19552 20774 21216 25568 28288 29328 31161 38352 39104 41548 42432 51136 58656 62322 76704 78208 83096 84864 102272 117312 124644 153408 166192 234624 249288 306816 332384 498576 664768 997152 1329536 1994304 3988608