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242928 = 24327241
BaseRepresentation
bin111011010011110000
3110100020100
4323103300
530233203
65112400
72031150
oct732360
9410210
10242928
11156574
12b8700
138675a
1464760
154bea3
hex3b4f0

242928 has 60 divisors (see below), whose sum is σ = 780208. Its totient is φ = 69120.

The previous prime is 242927. The next prime is 242971. The reversal of 242928 is 829242.

242928 is nontrivially palindromic in base 5.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242923) 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, 888 + ... + 1128.

2242928 is an apocalyptic number.

242928 is a gapful number since it is divisible by the number (28) 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 242928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390104).

242928 is an abundant number, since it is smaller than the sum of its proper divisors (537280).

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

242928 is a wasteful number, since it uses less digits than its factorization.

242928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 253 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 242928 is about 492.8772666699. The cubic root of 242928 is about 62.3963508714.

The spelling of 242928 in words is "two hundred forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 241 252 336 482 504 723 964 1008 1446 1687 1928 2169 2892 3374 3856 4338 5061 5784 6748 8676 10122 11568 13496 15183 17352 20244 26992 30366 34704 40488 60732 80976 121464 242928