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68773824 = 2632737461
BaseRepresentation
bin1000001100101…
…10011111000000
311210102001221200
410012112133000
5120101230244
610454021200
71463365530
oct406263700
9153361850
1068773824
1135903879
121b047800
131132c692
1491c34c0
156087669
hex41967c0

68773824 has 168 divisors, whose sum is σ = 231879648. Its totient is φ = 19077120.

The previous prime is 68773799. The next prime is 68773843. The reversal of 68773824 is 42837786.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 68773824.

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 23 ways as a sum of consecutive naturals, for example, 148954 + ... + 149414.

It is an arithmetic number, because the mean of its divisors is an integer number (1380236).

Almost surely, 268773824 is an apocalyptic number.

68773824 is a gapful number since it is divisible by the number (64) 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 68773824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115939824).

68773824 is an abundant number, since it is smaller than the sum of its proper divisors (163105824).

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

68773824 is a wasteful number, since it uses less digits than its factorization.

68773824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 510 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 68773824 is about 8292.9984927046. The cubic root of 68773824 is about 409.7079498595.

It can be divided in two parts, 6877 and 3824, that added together give a palindrome (10701).

The spelling of 68773824 in words is "sixty-eight million, seven hundred seventy-three thousand, eight hundred twenty-four".