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5947968 = 263132383
BaseRepresentation
bin10110101100001001000000
3102012012002010
4112230021000
53010313333
6331252520
7101362005
oct26541100
912165063
105947968
1133a2884
121baa140
131303410
14b0b8ac
157c7563
hex5ac240

5947968 has 56 divisors (see below), whose sum is σ = 16955008. Its totient is φ = 1829376.

The previous prime is 5947957. The next prime is 5947973. The reversal of 5947968 is 8697495.

It is a Harshad number since it is a multiple of its sum of digits (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, 1305 + ... + 3687.

It is an arithmetic number, because the mean of its divisors is an integer number (302768).

Almost surely, 25947968 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 5947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8477504).

5947968 is an abundant number, since it is smaller than the sum of its proper divisors (11007040).

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

5947968 is a wasteful number, since it uses less digits than its factorization.

5947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2401 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 5947968 is about 2438.8456285710. The cubic root of 5947968 is about 181.1852645552.

The spelling of 5947968 in words is "five million, nine hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2383 2496 4766 7149 9532 14298 19064 28596 30979 38128 57192 61958 76256 92937 114384 123916 152512 185874 228768 247832 371748 457536 495664 743496 991328 1486992 1982656 2973984 5947968