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7083968 = 26172383
BaseRepresentation
bin11011000001011111000000
3111022220101012
4123001133000
53303141333
6411500052
7114132653
oct33013700
914286335
107083968
113aa9321
122457628
1316104c8
14d2589a
1594de48
hex6c17c0

7083968 has 42 divisors (see below), whose sum is σ = 14971776. Its totient is φ = 3324928.

The previous prime is 7083961. The next prime is 7083971. The reversal of 7083968 is 8693807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7083961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18305 + ... + 18687.

Almost surely, 27083968 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 7083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485888).

7083968 is an abundant number, since it is smaller than the sum of its proper divisors (7887808).

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

7083968 is a wasteful number, since it uses less digits than its factorization.

7083968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 7083968 is about 2661.5724675462. The cubic root of 7083968 is about 192.0549611174.

It can be divided in two parts, 70839 and 68, that added together give a palindrome (70907).

The spelling of 7083968 in words is "seven million, eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 383 544 578 766 1088 1156 1532 2312 3064 4624 6128 6511 9248 12256 13022 18496 24512 26044 52088 104176 110687 208352 221374 416704 442748 885496 1770992 3541984 7083968