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67894848 = 263471871
BaseRepresentation
bin1000000101111…
…11111001000000
311201202102020000
410002333321000
5114340113343
610423120000
71453045110
oct402777100
9151672200
1067894848
113536344a
121a8a3000
13110b2588
149035040
155e61ed3
hex40bfe40

67894848 has 140 divisors (see below), whose sum is σ = 230136192. Its totient is φ = 19388160.

The previous prime is 67894831. The next prime is 67894861. The reversal of 67894848 is 84849876.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 67894794 and 67894803.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35353 + ... + 37223.

Almost surely, 267894848 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 67894848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115068096).

67894848 is an abundant number, since it is smaller than the sum of its proper divisors (162241344).

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

67894848 is a wasteful number, since it uses less digits than its factorization.

67894848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1883 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 67894848 is about 8239.8330080166. The cubic root of 67894848 is about 407.9550123407.

The spelling of 67894848 in words is "sixty-seven million, eight hundred ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 1871 2016 2268 2592 3024 3742 4032 4536 5184 5613 6048 7484 9072 11226 12096 13097 14968 16839 18144 22452 26194 29936 33678 36288 39291 44904 50517 52388 59872 67356 78582 89808 101034 104776 117873 119744 134712 151551 157164 179616 202068 209552 235746 269424 303102 314328 353619 359232 404136 419104 471492 538848 606204 628656 707238 808272 838208 942984 1060857 1077696 1212408 1257312 1414476 1616544 1885968 2121714 2424816 2514624 2828952 3233088 3771936 4243428 4849632 5657904 7543872 8486856 9699264 11315808 16973712 22631616 33947424 67894848