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68149396 = 227217113181
BaseRepresentation
bin1000000111111…
…10000010010100
311202020100101201
410003332002110
5114421240041
610432402244
71455155200
oct403760224
9152210351
1068149396
1135517717
121a9a6384
13111713b3
14909db00
155eb2631
hex40fe094

68149396 has 72 divisors (see below), whose sum is σ = 149012136. Its totient is φ = 27095040.

The previous prime is 68149381. The next prime is 68149397. The reversal of 68149396 is 69394186.

It can be written as a sum of positive squares in 4 ways, for example, as 1073296 + 67076100 = 1036^2 + 8190^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68149397) 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 23 ways as a sum of consecutive naturals, for example, 376426 + ... + 376606.

It is an arithmetic number, because the mean of its divisors is an integer number (2069613).

Almost surely, 268149396 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 68149396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74506068).

68149396 is an abundant number, since it is smaller than the sum of its proper divisors (80862740).

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

68149396 is a wasteful number, since it uses less digits than its factorization.

68149396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 320 counting only the distinct ones).

The product of its digits is 279936, while the sum is 46.

The square root of 68149396 is about 8255.2647443919. The cubic root of 68149396 is about 408.4642047631.

The spelling of 68149396 in words is "sixty-eight million, one hundred forty-nine thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 113 119 181 196 226 238 362 452 476 724 791 833 1267 1582 1666 1921 2534 3077 3164 3332 3842 5068 5537 6154 7684 8869 11074 12308 13447 17738 20453 21539 22148 26894 35476 40906 43078 53788 81812 86156 94129 143171 150773 188258 286342 301546 347701 376516 572684 603092 695402 1002197 1390804 2004394 2433907 4008788 4867814 9735628 17037349 34074698 68149396