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3881696 = 257133143
BaseRepresentation
bin1110110011101011100000
321022012200112
432303223200
51443203241
6215110452
744664620
oct16635340
97265615
103881696
112211415
121372428
13a5ba80
14730880
1551a1eb
hex3b3ae0

3881696 has 96 divisors (see below), whose sum is σ = 9934848. Its totient is φ = 1451520.

The previous prime is 3881671. The next prime is 3881699. The reversal of 3881696 is 6961883.

It is a happy number.

Its product of digits (62208) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3881699) 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, 90251 + ... + 90293.

It is an arithmetic number, because the mean of its divisors is an integer number (103488).

Almost surely, 23881696 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 3881696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967424).

3881696 is an abundant number, since it is smaller than the sum of its proper divisors (6053152).

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

3881696 is a wasteful number, since it uses less digits than its factorization.

3881696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its digits is 62208, while the sum is 41.

The square root of 3881696 is about 1970.2020200984. The cubic root of 3881696 is about 157.1594523206.

The spelling of 3881696 in words is "three million, eight hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 43 52 56 62 86 91 104 112 124 172 182 208 217 224 248 301 344 364 403 416 434 496 559 602 688 728 806 868 992 1118 1204 1333 1376 1456 1612 1736 2236 2408 2666 2821 2912 3224 3472 3913 4472 4816 5332 5642 6448 6944 7826 8944 9331 9632 10664 11284 12896 15652 17329 17888 18662 21328 22568 31304 34658 37324 42656 45136 62608 69316 74648 90272 121303 125216 138632 149296 242606 277264 298592 485212 554528 970424 1940848 3881696