Search a number
-
+
68566792 = 23731127311
BaseRepresentation
bin1000001011000…
…11111100001000
311210000112221211
410011203330020
5120023114132
610445342504
71461544120
oct405437410
9153015854
1068566792
1135782278
121ab67a34
1311289388
14916bc80
156046147
hex4163f08

68566792 has 64 divisors (see below), whose sum is σ = 153354240. Its totient is φ = 28123200.

The previous prime is 68566781. The next prime is 68566793. The reversal of 68566792 is 29766586.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (68566793) 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, 220317 + ... + 220627.

It is an arithmetic number, because the mean of its divisors is an integer number (2396160).

Almost surely, 268566792 is an apocalyptic number.

68566792 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 68566792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76677120).

68566792 is an abundant number, since it is smaller than the sum of its proper divisors (84787448).

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

68566792 is a wasteful number, since it uses less digits than its factorization.

68566792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 478 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The square root of 68566792 is about 8280.5067477782. The cubic root of 68566792 is about 409.2964177352.

The spelling of 68566792 in words is "sixty-eight million, five hundred sixty-six thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 127 217 248 254 311 434 508 622 868 889 1016 1244 1736 1778 2177 2488 3556 3937 4354 7112 7874 8708 9641 15748 17416 19282 27559 31496 38564 39497 55118 67487 77128 78994 110236 134974 157988 220472 269948 276479 315976 539896 552958 1105916 1224407 2211832 2448814 4897628 8570849 9795256 17141698 34283396 68566792