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3880896 = 263172941
BaseRepresentation
bin1110110011011111000000
321022011120220
432303133000
51443142041
6215103040
744662365
oct16633700
97264526
103880896
112210858
121371a80
13a5b5b6
1473046c
15519d66
hex3b37c0

3880896 has 112 divisors (see below), whose sum is σ = 11521440. Its totient is φ = 1146880.

The previous prime is 3880889. The next prime is 3880897. The reversal of 3880896 is 6980883.

It is a super-2 number, since 2×38808962 = 30122707525632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3880897) 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, 94636 + ... + 94676.

It is an arithmetic number, because the mean of its divisors is an integer number (102870).

Almost surely, 23880896 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 3880896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760720).

3880896 is an abundant number, since it is smaller than the sum of its proper divisors (7640544).

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

3880896 is a wasteful number, since it uses less digits than its factorization.

3880896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 92 counting only the distinct ones).

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

The square root of 3880896 is about 1969.9989847713. The cubic root of 3880896 is about 157.1486549612.

The spelling of 3880896 in words is "three million, eight hundred eighty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 41 48 51 58 64 68 82 87 96 102 116 123 136 164 174 192 204 232 246 272 328 348 408 464 492 493 544 656 696 697 816 928 984 986 1088 1189 1312 1392 1394 1479 1632 1856 1968 1972 2091 2378 2624 2784 2788 2958 3264 3567 3936 3944 4182 4756 5568 5576 5916 7134 7872 7888 8364 9512 11152 11832 14268 15776 16728 19024 20213 22304 23664 28536 31552 33456 38048 40426 44608 47328 57072 60639 66912 76096 80852 94656 114144 121278 133824 161704 228288 242556 323408 485112 646816 970224 1293632 1940448 3880896