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3897216 = 273217199
BaseRepresentation
bin1110110111011110000000
321022222222100
432313132000
51444202331
6215310400
745061101
oct16673600
97288870
103897216
112222044
12137b400
13a65b5b
147363a8
1551eae6
hex3b7780

3897216 has 96 divisors (see below), whose sum is σ = 11934000. Its totient is φ = 1216512.

The previous prime is 3897209. The next prime is 3897217. The reversal of 3897216 is 6127983.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3897217) 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, 19485 + ... + 19683.

Almost surely, 23897216 is an apocalyptic number.

3897216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3897216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5967000).

3897216 is an abundant number, since it is smaller than the sum of its proper divisors (8036784).

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

3897216 is a wasteful number, since it uses less digits than its factorization.

3897216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3897216 is about 1974.1367733772. The cubic root of 3897216 is about 157.3686281696.

The spelling of 3897216 in words is "three million, eight hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 199 204 272 288 306 384 398 408 544 576 597 612 796 816 1088 1152 1194 1224 1592 1632 1791 2176 2388 2448 3184 3264 3383 3582 4776 4896 6368 6528 6766 7164 9552 9792 10149 12736 13532 14328 19104 19584 20298 25472 27064 28656 30447 38208 40596 54128 57312 60894 76416 81192 108256 114624 121788 162384 216512 229248 243576 324768 433024 487152 649536 974304 1299072 1948608 3897216