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5683968 = 28322467
BaseRepresentation
bin10101101011101100000000
3101200202221100
4111223230000
52423341333
6321454400
766212223
oct25535400
911622840
105683968
1132324a4
121aa1400
1312401c4
14a7d5ba
15774213
hex56bb00

5683968 has 54 divisors (see below), whose sum is σ = 16394924. Its totient is φ = 1893888.

The previous prime is 5683963. The next prime is 5683981. The reversal of 5683968 is 8693865.

It is not an unprimeable number, because it can be changed into a prime (5683961) 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, 1071 + ... + 3537.

Almost surely, 25683968 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 5683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8197462).

5683968 is an abundant number, since it is smaller than the sum of its proper divisors (10710956).

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

5683968 is a wasteful number, since it uses less digits than its factorization.

5683968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2472 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 5683968 is about 2384.1073801320. The cubic root of 5683968 is about 178.4639665513.

The spelling of 5683968 in words is "five million, six hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2467 4934 7401 9868 14802 19736 22203 29604 39472 44406 59208 78944 88812 118416 157888 177624 236832 315776 355248 473664 631552 710496 947328 1420992 1894656 2841984 5683968