Search a number
-
+
243465552 = 243211289157
BaseRepresentation
bin11101000001011…
…11110101010000
3121222010022221200
432200233311100
5444311344202
640054151200
76014265051
oct1640576520
9558108850
10243465552
11115480300
1269652500
133b595375
1424498728
1516592e1c
hexe82fd50

243465552 has 180 divisors, whose sum is σ = 762177780. Its totient is φ = 72483840.

The previous prime is 243465539. The next prime is 243465559. The reversal of 243465552 is 255564342.

243465552 is a `hidden beast` number, since 2 + 43 + 4 + 65 + 552 = 666.

243465552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 58614336 + 184851216 = 7656^2 + 13596^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243465559) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1550658 + ... + 1550814.

It is an arithmetic number, because the mean of its divisors is an integer number (4234321).

Almost surely, 2243465552 is an apocalyptic number.

243465552 is a gapful number since it is divisible by the number (22) 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 243465552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381088890).

243465552 is an abundant number, since it is smaller than the sum of its proper divisors (518712228).

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

243465552 is a wasteful number, since it uses less digits than its factorization.

243465552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 262 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 243465552 is about 15603.3827101690. The cubic root of 243465552 is about 624.4234059331.

The spelling of 243465552 in words is "two hundred forty-three million, four hundred sixty-five thousand, five hundred fifty-two".