Search a number
-
+
7085856 = 253312381
BaseRepresentation
bin11011000001111100100000
3111022222222010
4123001330200
53303221411
6411512520
7114141321
oct33017440
914288863
107085856
113aaa788
122458740
13161131b
14d26448
1594e7a6
hex6c1f20

7085856 has 48 divisors (see below), whose sum is σ = 19208448. Its totient is φ = 2284800.

The previous prime is 7085849. The next prime is 7085873. The reversal of 7085856 is 6585807.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1786 + ... + 4166.

It is an arithmetic number, because the mean of its divisors is an integer number (400176).

Almost surely, 27085856 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 7085856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9604224).

7085856 is an abundant number, since it is smaller than the sum of its proper divisors (12122592).

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

7085856 is a wasteful number, since it uses less digits than its factorization.

7085856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 7085856 is about 2661.9271214667. The cubic root of 7085856 is about 192.0720215915.

The spelling of 7085856 in words is "seven million, eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2381 2976 4762 7143 9524 14286 19048 28572 38096 57144 73811 76192 114288 147622 221433 228576 295244 442866 590488 885732 1180976 1771464 2361952 3542928 7085856