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268249748 = 221353131743
BaseRepresentation
bin11111111110100…
…10101010010100
3200200202111110212
433333102222110
51022132442443
642341304552
76435041144
oct1777225224
9620674425
10268249748
11128469008
1275a05158
1343762280
14278aa924
151883b618
hexffd2a94

268249748 has 48 divisors (see below), whose sum is σ = 519716736. Its totient is φ = 120382080.

The previous prime is 268249747. The next prime is 268249769. The reversal of 268249748 is 847942862.

268249748 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 268249696 and 268249705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268249747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360665 + ... + 361407.

It is an arithmetic number, because the mean of its divisors is an integer number (10827432).

Almost surely, 2268249748 is an apocalyptic number.

It is an amenable number.

268249748 is a deficient number, since it is larger than the sum of its proper divisors (251466988).

268249748 is a wasteful number, since it uses less digits than its factorization.

268249748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 942 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 50.

The square root of 268249748 is about 16378.3316610698. The cubic root of 268249748 is about 644.9307843921.

The spelling of 268249748 in words is "two hundred sixty-eight million, two hundred forty-nine thousand, seven hundred forty-eight".

Divisors: 1 2 4 13 26 52 53 106 131 212 262 524 689 743 1378 1486 1703 2756 2972 3406 6812 6943 9659 13886 19318 27772 38636 39379 78758 90259 97333 157516 180518 194666 361036 389332 511927 1023854 1265329 2047708 2530658 5061316 5158649 10317298 20634596 67062437 134124874 268249748