Search a number
-
+
68634992 = 2419317283
BaseRepresentation
bin1000001011101…
…00100101110000
311210011000111202
410011310211300
5120032304432
610451030332
71462250006
oct405644560
9153130452
1068634992
1135819538
121ab9b3a8
13112b142a
149188a76
15605b462
hex4174970

68634992 has 40 divisors (see below), whose sum is σ = 144514560. Its totient is φ = 31458240.

The previous prime is 68634989. The next prime is 68635027. The reversal of 68634992 is 29943686.

It is a super-3 number, since 3×686349923 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5783 + ... + 13065.

It is an arithmetic number, because the mean of its divisors is an integer number (3612864).

Almost surely, 268634992 is an apocalyptic number.

68634992 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68634992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72257280).

68634992 is an abundant number, since it is smaller than the sum of its proper divisors (75879568).

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

68634992 is a wasteful number, since it uses less digits than its factorization.

68634992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7341 (or 7335 counting only the distinct ones).

The product of its digits is 559872, while the sum is 47.

The square root of 68634992 is about 8284.6238297221. The cubic root of 68634992 is about 409.4320750755.

The spelling of 68634992 in words is "sixty-eight million, six hundred thirty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 1178 2356 4712 7283 9424 14566 29132 58264 116528 138377 225773 276754 451546 553508 903092 1107016 1806184 2214032 3612368 4289687 8579374 17158748 34317496 68634992