Search a number
-
+
248500960 = 2553150101
BaseRepresentation
bin11101100111111…
…01001011100000
3122022121011020021
432303331023200
51002104012320
640354123224
76105136411
oct1663751340
9568534207
10248500960
111182aa4a4
126b280514
133c6392b6
1425009808
1516c39daa
hexecfd2e0

248500960 has 48 divisors (see below), whose sum is σ = 606033792. Its totient is φ = 96192000.

The previous prime is 248500949. The next prime is 248500961. The reversal of 248500960 is 69005842.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248500961) 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, 20091 + ... + 30010.

It is an arithmetic number, because the mean of its divisors is an integer number (12625704).

Almost surely, 2248500960 is an apocalyptic number.

248500960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248500960 is an abundant number, since it is smaller than the sum of its proper divisors (357532832).

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

248500960 is a wasteful number, since it uses less digits than its factorization.

248500960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50147 (or 50139 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 248500960 is about 15763.9132197561. The cubic root of 248500960 is about 628.6988852123.

The spelling of 248500960 in words is "two hundred forty-eight million, five hundred thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 50101 100202 200404 250505 400808 501010 801616 1002020 1553131 1603232 2004040 3106262 4008080 6212524 7765655 8016160 12425048 15531310 24850096 31062620 49700192 62125240 124250480 248500960