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5877696 = 26311323
BaseRepresentation
bin10110011010111111000000
3102001121200110
4112122333000
53001041241
6325551320
7100650066
oct26327700
912047613
105877696
113355000
121b75540
1312aa436
14ad0036
157b1816
hex59afc0

5877696 has 112 divisors (see below), whose sum is σ = 17849088. Its totient is φ = 1703680.

The previous prime is 5877689. The next prime is 5877701. The reversal of 5877696 is 6967785.

5877696 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 55 + 85 + 74 + 78 + 65 + 95 + 65 .

It is a zygodrome in base 11.

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, 255541 + ... + 255563.

Almost surely, 25877696 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 5877696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8924544).

5877696 is an abundant number, since it is smaller than the sum of its proper divisors (11971392).

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

5877696 is a wasteful number, since it uses less digits than its factorization.

5877696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 39 counting only the distinct ones).

The product of its digits is 635040, while the sum is 48.

The square root of 5877696 is about 2424.3960072562. The cubic root of 5877696 is about 180.4689009069.

The spelling of 5877696 in words is "five million, eight hundred seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 121 132 138 176 184 192 242 253 264 276 352 363 368 484 506 528 552 704 726 736 759 968 1012 1056 1104 1331 1452 1472 1518 1936 2024 2112 2208 2662 2783 2904 3036 3872 3993 4048 4416 5324 5566 5808 6072 7744 7986 8096 8349 10648 11132 11616 12144 15972 16192 16698 21296 22264 23232 24288 30613 31944 33396 42592 44528 48576 61226 63888 66792 85184 89056 91839 122452 127776 133584 178112 183678 244904 255552 267168 367356 489808 534336 734712 979616 1469424 1959232 2938848 5877696