Search a number
-
+
68828742 = 23223312173
BaseRepresentation
bin1000001101000…
…11111001000110
311210111212021200
410012203321012
5120110004432
610455123330
71464014613
oct406437106
9153455250
1068828742
1135941064
121b073546
131134b688
1491d950a
156098a7c
hex41a3e46

68828742 has 72 divisors (see below), whose sum is σ = 161723952. Its totient is φ = 21114720.

The previous prime is 68828741. The next prime is 68828743. The reversal of 68828742 is 24782886.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68828741) and next prime (68828743).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68828741) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 397768 + ... + 397940.

It is an arithmetic number, because the mean of its divisors is an integer number (2246166).

Almost surely, 268828742 is an apocalyptic number.

68828742 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68828742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80861976).

68828742 is an abundant number, since it is smaller than the sum of its proper divisors (92895210).

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

68828742 is a wasteful number, since it uses less digits than its factorization.

68828742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 232 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 68828742 is about 8296.3089383171. The cubic root of 68828742 is about 409.8169756171.

The spelling of 68828742 in words is "sixty-eight million, eight hundred twenty-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 138 173 186 207 279 346 414 519 558 713 961 1038 1426 1557 1922 2139 2883 3114 3979 4278 5363 5766 6417 7958 8649 10726 11937 12834 16089 17298 22103 23874 32178 35811 44206 48267 66309 71622 96534 123349 132618 166253 198927 246698 332506 370047 397854 498759 740094 997518 1110141 1496277 2220282 2992554 3823819 7647638 11471457 22942914 34414371 68828742