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67738268 = 2213171937109
BaseRepresentation
bin1000000100110…
…01101010011100
311201110110102202
410002121222130
5114320111033
610415511032
71451523443
oct402315234
9151413382
1067738268
1135266844
121a828478
1311059220
148dd3d5a
155e308e8
hex4099a9c

67738268 has 96 divisors (see below), whose sum is σ = 147470400. Its totient is φ = 26873856.

The previous prime is 67738267. The next prime is 67738271. The reversal of 67738268 is 86283776.

Together with 79732132 it forms an amicable pair .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67738267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621398 + ... + 621506.

It is an arithmetic number, because the mean of its divisors is an integer number (1536150).

Almost surely, 267738268 is an apocalyptic number.

67738268 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

67738268 is an abundant number, since it is smaller than the sum of its proper divisors (79732132).

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

67738268 is a wasteful number, since it uses less digits than its factorization.

67738268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 197 counting only the distinct ones).

The product of its digits is 677376, while the sum is 47.

The square root of 67738268 is about 8230.3261174755. The cubic root of 67738268 is about 407.6411605250.

The spelling of 67738268 in words is "sixty-seven million, seven hundred thirty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 4 13 17 19 26 34 37 38 52 68 74 76 109 148 218 221 247 323 436 442 481 494 629 646 703 884 962 988 1258 1292 1406 1417 1853 1924 2071 2516 2812 2834 3706 4033 4142 4199 5668 7412 8066 8177 8284 8398 9139 11951 16132 16354 16796 18278 23902 24089 26923 32708 35207 36556 47804 48178 52429 53846 68561 70414 76627 96356 104858 107692 137122 140828 153254 155363 209716 274244 306508 310726 457691 621452 891293 915382 996151 1302659 1782586 1830764 1992302 2605318 3565172 3984604 5210636 16934567 33869134 67738268