Search a number
-
+
5811456 = 28372347
BaseRepresentation
bin10110001010110100000000
3101221020211010
4112022310000
52441431311
6324320520
7100253010
oct26126400
911836733
105811456
11330a262
121b43140
131286241
14ab3c40
1579bda6
hex58ad00

5811456 has 144 divisors (see below), whose sum is σ = 18837504. Its totient is φ = 1554432.

The previous prime is 5811437. The next prime is 5811461. The reversal of 5811456 is 6541185.

Its product of digits (4800) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123625 + ... + 123671.

It is an arithmetic number, because the mean of its divisors is an integer number (130816).

Almost surely, 25811456 is an apocalyptic number.

5811456 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 5811456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9418752).

5811456 is an abundant number, since it is smaller than the sum of its proper divisors (13026048).

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

5811456 is a wasteful number, since it uses less digits than its factorization.

5811456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 82 counting only the distinct ones).

The product of its digits is 4800, while the sum is 30.

The square root of 5811456 is about 2410.6961650113. The cubic root of 5811456 is about 179.7883933095.

The spelling of 5811456 in words is "five million, eight hundred eleven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 47 48 56 64 69 84 92 94 96 112 128 138 141 161 168 184 188 192 224 256 276 282 322 329 336 368 376 384 448 483 552 564 644 658 672 736 752 768 896 966 987 1081 1104 1128 1288 1316 1344 1472 1504 1792 1932 1974 2162 2208 2256 2576 2632 2688 2944 3008 3243 3864 3948 4324 4416 4512 5152 5264 5376 5888 6016 6486 7567 7728 7896 8648 8832 9024 10304 10528 12032 12972 15134 15456 15792 17296 17664 18048 20608 21056 22701 25944 30268 30912 31584 34592 36096 41216 42112 45402 51888 60536 61824 63168 69184 84224 90804 103776 121072 123648 126336 138368 181608 207552 242144 252672 276736 363216 415104 484288 726432 830208 968576 1452864 1937152 2905728 5811456