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248678364 = 2231129167389
BaseRepresentation
bin11101101001010…
…00011111011100
3122022221011120210
432310220133130
51002130201424
640402012420
76106505544
oct1664503734
9568834523
10248678364
11118410810
126b347110
133c69bc7c
1425054324
1516c72729
hexed287dc

248678364 has 96 divisors (see below), whose sum is σ = 660441600. Its totient is φ = 72136960.

The previous prime is 248678351. The next prime is 248678383. The reversal of 248678364 is 463876842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 639082 + ... + 639470.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2248678364 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 248678364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

248678364 is an abundant number, since it is smaller than the sum of its proper divisors (411763236).

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

248678364 is a wasteful number, since it uses less digits than its factorization.

248678364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 601 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 248678364 is about 15769.5391181860. The cubic root of 248678364 is about 628.8484582983.

The spelling of 248678364 in words is "two hundred forty-eight million, six hundred seventy-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 167 174 319 334 348 389 501 638 668 778 957 1002 1167 1276 1556 1837 1914 2004 2334 3674 3828 4279 4668 4843 5511 7348 8558 9686 11022 11281 12837 14529 17116 19372 22044 22562 25674 29058 33843 45124 51348 53273 58116 64963 67686 106546 124091 129926 135372 159819 194889 213092 248182 259852 319638 372273 389778 496364 639276 714593 744546 779556 1429186 1489092 1883927 2143779 2858372 3767854 4287558 5651781 7535708 8575116 11303562 20723197 22607124 41446394 62169591 82892788 124339182 248678364