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68001408 = 273259029
BaseRepresentation
bin1000000110110…
…01111010000000
311201221211101200
410003121322000
5114402021113
610425301200
71454000556
oct403317200
9151854350
1068001408
1135426512
121a934800
131111bc27
149061bd6
155e83873
hex40d9e80

68001408 has 48 divisors (see below), whose sum is σ = 195684450. Its totient is φ = 22666752.

The previous prime is 68001407. The next prime is 68001413. The reversal of 68001408 is 80410086.

It can be written as a sum of positive squares in only one way, i.e., 65415744 + 2585664 = 8088^2 + 1608^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (68001403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28363 + ... + 30666.

Almost surely, 268001408 is an apocalyptic number.

It is an amenable number.

68001408 is an abundant number, since it is smaller than the sum of its proper divisors (127683042).

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

68001408 is a wasteful number, since it uses less digits than its factorization.

68001408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59049 (or 59034 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 68001408 is about 8246.2966233334. The cubic root of 68001408 is about 408.1683273146.

The spelling of 68001408 in words is "sixty-eight million, one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 59029 118058 177087 236116 354174 472232 531261 708348 944464 1062522 1416696 1888928 2125044 2833392 3777856 4250088 5666784 7555712 8500176 11333568 17000352 22667136 34000704 68001408