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268182852 = 2237231271093
BaseRepresentation
bin11111111110000…
…10010101000100
3200200122002201020
433333002111010
51022123322402
642340031140
76434342130
oct1777022504
9620562636
10268182852
11128422823
12759924b0
134373a9a2
14278903c0
15188268bc
hexffc2544

268182852 has 96 divisors (see below), whose sum is σ = 752812032. Its totient is φ = 72648576.

The previous prime is 268182823. The next prime is 268182869. The reversal of 268182852 is 258281862.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 244818 + ... + 245910.

It is an arithmetic number, because the mean of its divisors is an integer number (7841792).

Almost surely, 2268182852 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 268182852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376406016).

268182852 is an abundant number, since it is smaller than the sum of its proper divisors (484629180).

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

268182852 is a wasteful number, since it uses less digits than its factorization.

268182852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1255 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 268182852 is about 16376.2893232869. The cubic root of 268182852 is about 644.8771690865.

The spelling of 268182852 in words is "two hundred sixty-eight million, one hundred eighty-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 127 138 161 254 276 322 381 483 508 644 762 889 966 1093 1524 1778 1932 2186 2667 2921 3279 3556 4372 5334 5842 6558 7651 8763 10668 11684 13116 15302 17526 20447 22953 25139 30604 35052 40894 45906 50278 61341 75417 81788 91812 100556 122682 138811 150834 175973 245364 277622 301668 351946 416433 527919 555244 703892 832866 971677 1055838 1665732 1943354 2111676 2915031 3192653 3886708 5830062 6385306 9577959 11660124 12770612 19155918 22348571 38311836 44697142 67045713 89394284 134091426 268182852