Search a number
-
+
245515536 = 243673197
BaseRepresentation
bin11101010001001…
…00010100010000
3122002222111000000
432220210110100
51000322444121
640210130000
76040563510
oct1650442420
9562874000
10245515536
11116650502
126a280900
133bb32486
142486d840
151684a526
hexea24510

245515536 has 280 divisors, whose sum is σ = 850056704. Its totient is φ = 67184640.

The previous prime is 245515531. The next prime is 245515553. The reversal of 245515536 is 635515542.

245515536 is a `hidden beast` number, since 24 + 551 + 55 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 245515536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245515531) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2531040 + ... + 2531136.

Almost surely, 2245515536 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 245515536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425028352).

245515536 is an abundant number, since it is smaller than the sum of its proper divisors (604541168).

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

245515536 is an equidigital number, since it uses as much as digits as its factorization.

245515536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 140 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 245515536 is about 15668.9353818311. The cubic root of 245515536 is about 626.1710617991.

It can be divided in two parts, 245515 and 536, that added together give a triangular number (246051 = T701).

The spelling of 245515536 in words is "two hundred forty-five million, five hundred fifteen thousand, five hundred thirty-six".