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68024416 = 2531471459
BaseRepresentation
bin1000000110111…
…11100001100000
311201222222221211
410003133201200
5114403240131
610425555504
71454124625
oct403374140
9151888854
1068024416
1135441829
121a945b94
1311129545
14906a34c
155e8a5b1
hex40df860

68024416 has 48 divisors (see below), whose sum is σ = 141281280. Its totient is φ = 32192640.

The previous prime is 68024399. The next prime is 68024431. The reversal of 68024416 is 61442086.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 45895 + ... + 47353.

It is an arithmetic number, because the mean of its divisors is an integer number (2943360).

Almost surely, 268024416 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 68024416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70640640).

68024416 is an abundant number, since it is smaller than the sum of its proper divisors (73256864).

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

68024416 is a wasteful number, since it uses less digits than its factorization.

68024416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 68024416 is about 8247.6915558234. The cubic root of 68024416 is about 408.2143561553.

The spelling of 68024416 in words is "sixty-eight million, twenty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 31 32 47 62 94 124 188 248 376 496 752 992 1457 1459 1504 2914 2918 5828 5836 11656 11672 23312 23344 45229 46624 46688 68573 90458 137146 180916 274292 361832 548584 723664 1097168 1447328 2125763 2194336 4251526 8503052 17006104 34012208 68024416