Search a number
-
+
281212128 = 2533325477
BaseRepresentation
bin10000110000101…
…111010011100000
3201121011001112000
4100300233103200
51033442242003
643523204000
76653156301
oct2060572340
9647131460
10281212128
1113481191a
127a216600
1346350312
14294c27a8
1519a4c1a3
hex10c2f4e0

281212128 has 48 divisors (see below), whose sum is σ = 820204560. Its totient is φ = 93737088.

The previous prime is 281212123. The next prime is 281212187. The reversal of 281212128 is 821212182.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281212123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161875 + ... + 163602.

It is an arithmetic number, because the mean of its divisors is an integer number (17087595).

Almost surely, 2281212128 is an apocalyptic number.

It is an amenable number.

281212128 is an abundant number, since it is smaller than the sum of its proper divisors (538992432).

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

281212128 is a wasteful number, since it uses less digits than its factorization.

281212128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325496 (or 325482 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 281212128 is about 16769.3806683491. The cubic root of 281212128 is about 655.1559390194.

The spelling of 281212128 in words is "two hundred eighty-one million, two hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 325477 650954 976431 1301908 1952862 2603816 2929293 3905724 5207632 5858586 7811448 8787879 10415264 11717172 15622896 17575758 23434344 31245792 35151516 46868688 70303032 93737376 140606064 281212128