Search a number
-
+
26857728 = 283211657
BaseRepresentation
bin110011001110…
…1000100000000
31212112111212200
41212131010000
523333421403
62355353200
7444200262
oct146350400
955474780
1026857728
1114184677
128bb2800
135744961
1437d1b32
152557ca3
hex199d100

26857728 has 54 divisors (see below), whose sum is σ = 77444094. Its totient is φ = 8951808.

The previous prime is 26857717. The next prime is 26857729. The reversal of 26857728 is 82775862.

It can be written as a sum of positive squares in only one way, i.e., 24920064 + 1937664 = 4992^2 + 1392^2 .

It is not an unprimeable number, because it can be changed into a prime (26857729) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3525 + ... + 8132.

Almost surely, 226857728 is an apocalyptic number.

It is an amenable number.

26857728 is an abundant number, since it is smaller than the sum of its proper divisors (50586366).

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

26857728 is a wasteful number, since it uses less digits than its factorization.

26857728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11679 (or 11662 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 26857728 is about 5182.4442109877. Note that the first 3 decimals coincide. The cubic root of 26857728 is about 299.4721384186.

The spelling of 26857728 in words is "twenty-six million, eight hundred fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 11657 23314 34971 46628 69942 93256 104913 139884 186512 209826 279768 373024 419652 559536 746048 839304 1119072 1492096 1678608 2238144 2984192 3357216 4476288 6714432 8952576 13428864 26857728