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390226788 = 223372193881
BaseRepresentation
bin10111010000100…
…110001101100100
31000012021120112000
4113100212031210
51244344224123
6102415525300
712445605300
oct2720461544
91005246460
10390226788
11190300186
12aa829830
1362acc033
1439b7cd00
15243d2b43
hex17426364

390226788 has 144 divisors (see below), whose sum is σ = 1239134400. Its totient is φ = 105598080.

The previous prime is 390226787. The next prime is 390226799. The reversal of 390226788 is 887622093.

It is not an unprimeable number, because it can be changed into a prime (390226787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98608 + ... + 102488.

It is an arithmetic number, because the mean of its divisors is an integer number (8605100).

Almost surely, 2390226788 is an apocalyptic number.

390226788 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390226788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619567200).

390226788 is an abundant number, since it is smaller than the sum of its proper divisors (848907612).

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

390226788 is a wasteful number, since it uses less digits than its factorization.

390226788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 390226788 is about 19754.1587520198. The cubic root of 390226788 is about 730.7559492539.

The spelling of 390226788 in words is "three hundred ninety million, two hundred twenty-six thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 49 54 57 63 76 84 98 108 114 126 133 147 171 189 196 228 252 266 294 342 378 399 441 513 532 588 684 756 798 882 931 1026 1197 1323 1596 1764 1862 2052 2394 2646 2793 3591 3724 3881 4788 5292 5586 7182 7762 8379 11172 11643 14364 15524 16758 23286 25137 27167 33516 34929 46572 50274 54334 69858 73739 81501 100548 104787 108668 139716 147478 163002 190169 209574 221217 244503 294956 326004 380338 419148 442434 489006 516173 570507 663651 733509 760676 884868 978012 1032346 1141014 1327302 1467018 1548519 1711521 1990953 2064692 2282028 2654604 2934036 3097038 3423042 3613211 3981906 4645557 5134563 6194076 6846084 7226422 7963812 9291114 10269126 10839633 13936671 14452844 18582228 20538252 21679266 27873342 32518899 43358532 55746684 65037798 97556697 130075596 195113394 390226788