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68249976 = 23319971543
BaseRepresentation
bin1000001000101…
…10100101111000
311202102110100220
410010112211320
5114432444401
610434500040
71456054344
oct404264570
9152373326
1068249976
1135586243
121aa34620
13111a8102
1490c8624
155ed2336
hex4116978

68249976 has 64 divisors (see below), whose sum is σ = 181574400. Its totient is φ = 21316608.

The previous prime is 68249959. The next prime is 68249977. The reversal of 68249976 is 67994286.

68249976 = T453 + T454 + ... + T794.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68249977) 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 15 ways as a sum of consecutive naturals, for example, 43461 + ... + 45003.

It is an arithmetic number, because the mean of its divisors is an integer number (2837100).

Almost surely, 268249976 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 68249976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90787200).

68249976 is an abundant number, since it is smaller than the sum of its proper divisors (113324424).

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

68249976 is a wasteful number, since it uses less digits than its factorization.

68249976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1664 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 68249976 is about 8261.3543683829. The cubic root of 68249976 is about 408.6650533760.

The spelling of 68249976 in words is "sixty-eight million, two hundred forty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 97 114 152 194 228 291 388 456 582 776 1164 1543 1843 2328 3086 3686 4629 5529 6172 7372 9258 11058 12344 14744 18516 22116 29317 37032 44232 58634 87951 117268 149671 175902 234536 299342 351804 449013 598684 703608 898026 1197368 1796052 2843749 3592104 5687498 8531247 11374996 17062494 22749992 34124988 68249976