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5789056 = 27721371
BaseRepresentation
bin10110000101010110000000
3101220010002111
4112011112000
52440222211
6324025104
7100130500
oct26052600
911803074
105789056
1132a4449
121b32194
131278ca0
14aa9a00
15795421
hex585580

5789056 has 96 divisors (see below), whose sum is σ = 14651280. Its totient is φ = 2257920.

The previous prime is 5789029. The next prime is 5789059. The reversal of 5789056 is 6509875.

It is a happy number.

It is a super-2 number, since 2×57890562 = 67026338742272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5789059) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81501 + ... + 81571.

Almost surely, 25789056 is an apocalyptic number.

5789056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5789056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325640).

5789056 is an abundant number, since it is smaller than the sum of its proper divisors (8862224).

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

5789056 is a wasteful number, since it uses less digits than its factorization.

5789056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 5789056 is about 2406.0457186014. The cubic root of 5789056 is about 179.5571004162.

The spelling of 5789056 in words is "five million, seven hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 71 91 98 104 112 128 142 182 196 208 224 284 364 392 416 448 497 568 637 728 784 832 896 923 994 1136 1274 1456 1568 1664 1846 1988 2272 2548 2912 3136 3479 3692 3976 4544 5096 5824 6272 6461 6958 7384 7952 9088 10192 11648 12922 13916 14768 15904 20384 25844 27832 29536 31808 40768 45227 51688 55664 59072 63616 81536 90454 103376 111328 118144 180908 206752 222656 361816 413504 445312 723632 827008 1447264 2894528 5789056