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248790241 = 7233134937
BaseRepresentation
bin11101101010000…
…11110011100001
3122100010212001101
432311003303201
51002142241431
640404234401
76110452660
oct1665036341
9570125041
10248790241
11118487877
126b39ba01
133c70ab7b
1425082dd7
1516c95961
hexed43ce1

248790241 has 16 divisors (see below), whose sum is σ = 297702144. Its totient is φ = 203284224.

The previous prime is 248790233. The next prime is 248790247. The reversal of 248790241 is 142097842.

It is a cyclic number.

It is not a de Polignac number, because 248790241 - 23 = 248790233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 248790241.

It is not an unprimeable number, because it can be changed into a prime (248790247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47925 + ... + 52861.

It is an arithmetic number, because the mean of its divisors is an integer number (18606384).

Almost surely, 2248790241 is an apocalyptic number.

It is an amenable number.

248790241 is a deficient number, since it is larger than the sum of its proper divisors (48911903).

248790241 is a wasteful number, since it uses less digits than its factorization.

248790241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5280.

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 248790241 is about 15773.0859694608. The cubic root of 248790241 is about 628.9427476044.

The spelling of 248790241 in words is "two hundred forty-eight million, seven hundred ninety thousand, two hundred forty-one".

Divisors: 1 7 23 161 313 2191 4937 7199 34559 50393 113551 794857 1545281 10816967 35541463 248790241