Search a number
-
+
68429088 = 25327213373
BaseRepresentation
bin1000001010000…
…10010100100000
311202202120001200
410011002110200
5120004212323
610442401200
71460431500
oct405022440
9152676050
1068429088
1135698872
121ab00200
131123b7b0
149133a00
15601a443
hex4142520

68429088 has 216 divisors, whose sum is σ = 244432188. Its totient is φ = 17998848.

The previous prime is 68429083. The next prime is 68429099. The reversal of 68429088 is 88092486.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 66389904 + 2039184 = 8148^2 + 1428^2 .

It is not an unprimeable number, because it can be changed into a prime (68429083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183270 + ... + 183642.

Almost surely, 268429088 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 68429088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122216094).

68429088 is an abundant number, since it is smaller than the sum of its proper divisors (176003100).

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

68429088 is a wasteful number, since it uses less digits than its factorization.

68429088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 68429088 is about 8272.1876187620. The cubic root of 68429088 is about 409.0222348292.

The spelling of 68429088 in words is "sixty-eight million, four hundred twenty-nine thousand, eighty-eight".