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248265825 = 35231106781
BaseRepresentation
bin11101100110000…
…11110001100001
3122022011012200120
432303003301201
51002024001300
640345110453
76103140033
oct1663036141
9568135616
10248265825
11118159875
126b188429
133c586272
1424d87c53
1516be03a0
hexecc3c61

248265825 has 24 divisors (see below), whose sum is σ = 423710976. Its totient is φ = 128136000.

The previous prime is 248265821. The next prime is 248265847. The reversal of 248265825 is 528562842.

248265825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 248265825 - 22 = 248265821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248265821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51066 + ... + 55715.

It is an arithmetic number, because the mean of its divisors is an integer number (17654624).

Almost surely, 2248265825 is an apocalyptic number.

248265825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

248265825 is a deficient number, since it is larger than the sum of its proper divisors (175445151).

248265825 is a wasteful number, since it uses less digits than its factorization.

248265825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106825 (or 106820 counting only the distinct ones).

The product of its digits is 307200, while the sum is 42.

The square root of 248265825 is about 15756.4534397814. The cubic root of 248265825 is about 628.5005281477.

The spelling of 248265825 in words is "two hundred forty-eight million, two hundred sixty-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 25 31 75 93 155 465 775 2325 106781 320343 533905 1601715 2669525 3310211 8008575 9930633 16551055 49653165 82755275 248265825