Search a number
-
+
83155248 = 24341119307
BaseRepresentation
bin1001111010011…
…01100100110000
312210110201120000
410331031210300
5132241431443
612130150000
72026544061
oct475154460
9183421500
1083155248
1142a36850
1223a22300
13142c65b7
14b088568
1574788d3
hex4f4d930

83155248 has 200 divisors, whose sum is σ = 277273920. Its totient is φ = 23794560.

The previous prime is 83155217. The next prime is 83155273. The reversal of 83155248 is 84255138.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 270711 + ... + 271017.

Almost surely, 283155248 is an apocalyptic number.

83155248 is a gapful number since it is divisible by the number (88) 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 83155248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138636960).

83155248 is an abundant number, since it is smaller than the sum of its proper divisors (194118672).

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

83155248 is a wasteful number, since it uses less digits than its factorization.

83155248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 342 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 83155248 is about 9118.9499395490. The cubic root of 83155248 is about 436.4788667276.

The spelling of 83155248 in words is "eighty-three million, one hundred fifty-five thousand, two hundred forty-eight".