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3961056 = 25311331
BaseRepresentation
bin1111000111000011100000
321110020112210
433013003200
52003223211
6220522120
745445161
oct17070340
97406483
103961056
112266000
1213b0340
13a88c28
14751768
155339a6
hex3c70e0

3961056 has 96 divisors (see below), whose sum is σ = 11805696. Its totient is φ = 1161600.

The previous prime is 3961049. The next prime is 3961057. The reversal of 3961056 is 6501693.

It is a happy number.

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

It is a zygodrome in base 2 and base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3961057) 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, 127761 + ... + 127791.

It is an arithmetic number, because the mean of its divisors is an integer number (122976).

Almost surely, 23961056 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 3961056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902848).

3961056 is an abundant number, since it is smaller than the sum of its proper divisors (7844640).

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

3961056 is a wasteful number, since it uses less digits than its factorization.

3961056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 3961056 is about 1990.2401865102. The cubic root of 3961056 is about 158.2232596593.

The spelling of 3961056 in words is "three million, nine hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 121 124 132 176 186 242 248 264 341 352 363 372 484 496 528 682 726 744 968 992 1023 1056 1331 1364 1452 1488 1936 2046 2662 2728 2904 2976 3751 3872 3993 4092 5324 5456 5808 7502 7986 8184 10648 10912 11253 11616 15004 15972 16368 21296 22506 30008 31944 32736 41261 42592 45012 60016 63888 82522 90024 120032 123783 127776 165044 180048 247566 330088 360096 495132 660176 990264 1320352 1980528 3961056