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5776736 = 257173741
BaseRepresentation
bin10110000010010101100000
3101212111012012
4112002111200
52434323421
6323452052
7100046540
oct26022540
911774165
105776736
113296169
121b27028
1312734b4
14aa5320
1579195b
hex582560

5776736 has 96 divisors (see below), whose sum is σ = 14478912. Its totient is φ = 2211840.

The previous prime is 5776721. The next prime is 5776759. The reversal of 5776736 is 6376775.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 5776693 and 5776702.

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, 140876 + ... + 140916.

It is an arithmetic number, because the mean of its divisors is an integer number (150822).

Almost surely, 25776736 is an apocalyptic number.

5776736 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 5776736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239456).

5776736 is an abundant number, since it is smaller than the sum of its proper divisors (8702176).

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

5776736 is a wasteful number, since it uses less digits than its factorization.

5776736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its digits is 185220, while the sum is 41.

The square root of 5776736 is about 2403.4841376635. The cubic root of 5776736 is about 179.4296349253.

The spelling of 5776736 in words is "five million, seven hundred seventy-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 37 41 56 68 74 82 112 119 136 148 164 224 238 259 272 287 296 328 476 518 544 574 592 629 656 697 952 1036 1148 1184 1258 1312 1394 1517 1904 2072 2296 2516 2788 3034 3808 4144 4403 4592 4879 5032 5576 6068 8288 8806 9184 9758 10064 10619 11152 12136 17612 19516 20128 21238 22304 24272 25789 35224 39032 42476 48544 51578 70448 78064 84952 103156 140896 156128 169904 180523 206312 339808 361046 412624 722092 825248 1444184 2888368 5776736