Search a number
-
+
84255232 = 2943289
BaseRepresentation
bin1010000010110…
…10001000000000
312212112121110011
411001122020000
5133032131412
612205514304
72042105035
oct501321000
9185477404
1084255232
1143618226
1224272994
13145c0189
14b29338c
1575e47a7
hex505a200

84255232 has 60 divisors (see below), whose sum is σ = 174288510. Its totient is φ = 40685568.

The previous prime is 84255191. The next prime is 84255251. The reversal of 84255232 is 23255248.

It can be written as a sum of positive squares in only one way, i.e., 79995136 + 4260096 = 8944^2 + 2064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84255194 and 84255203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 946644 + ... + 946732.

Almost surely, 284255232 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 84255232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87144255).

84255232 is an abundant number, since it is smaller than the sum of its proper divisors (90033278).

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

84255232 is an frugal number, since it uses more digits than its factorization.

84255232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 134 counting only the distinct ones).

The product of its digits is 19200, while the sum is 31.

The square root of 84255232 is about 9179.0648761189. The cubic root of 84255232 is about 438.3950343089.

The spelling of 84255232 in words is "eighty-four million, two hundred fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 89 128 172 178 256 344 356 512 688 712 1376 1424 1849 2752 2848 3698 3827 5504 5696 7396 7654 11008 11392 14792 15308 22016 22784 29584 30616 45568 59168 61232 118336 122464 164561 236672 244928 329122 473344 489856 658244 946688 979712 1316488 1959424 2632976 5265952 10531904 21063808 42127616 84255232