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5769984 = 28311683
BaseRepresentation
bin10110000000101100000000
3101212010221010
4112000230000
52434114414
6323400520
7100021053
oct26005400
911763833
105769984
113291090
121b23140
1312703bc
14aa2a9a
1578e959
hex580b00

5769984 has 72 divisors (see below), whose sum is σ = 16777152. Its totient is φ = 1745920.

The previous prime is 5769949. The next prime is 5770001. The reversal of 5769984 is 4899675.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a d-powerful number, because it can be written as 53 + 78 + 63 + 9 + 93 + 8 + 46 .

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, 8107 + ... + 8789.

It is an arithmetic number, because the mean of its divisors is an integer number (233016).

Almost surely, 25769984 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 5769984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388576).

5769984 is an abundant number, since it is smaller than the sum of its proper divisors (11007168).

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

5769984 is a wasteful number, since it uses less digits than its factorization.

5769984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 699 counting only the distinct ones).

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

The square root of 5769984 is about 2402.0790994470. The cubic root of 5769984 is about 179.3597003223.

The spelling of 5769984 in words is "five million, seven hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 683 704 768 1056 1366 1408 2049 2112 2732 2816 4098 4224 5464 7513 8196 8448 10928 15026 16392 21856 22539 30052 32784 43712 45078 60104 65568 87424 90156 120208 131136 174848 180312 240416 262272 360624 480832 524544 721248 961664 1442496 1923328 2884992 5769984