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68378592 = 2536710631
BaseRepresentation
bin1000001001101…
…01111111100000
311202122222210110
410010311333200
5120001103332
610441331320
71460131332
oct404657740
9152588713
1068378592
1135663937
121aa96b40
1311221809
14911d452
15600a4cc
hex4135fe0

68378592 has 48 divisors (see below), whose sum is σ = 182189952. Its totient is φ = 22450560.

The previous prime is 68378521. The next prime is 68378593. The reversal of 68378592 is 29587386.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68378593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1117 + ... + 11747.

It is an arithmetic number, because the mean of its divisors is an integer number (3795624).

Almost surely, 268378592 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 68378592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91094976).

68378592 is an abundant number, since it is smaller than the sum of its proper divisors (113811360).

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

68378592 is a wasteful number, since it uses less digits than its factorization.

68378592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10711 (or 10703 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 68378592 is about 8269.1349003387. The cubic root of 68378592 is about 408.9215999000.

The spelling of 68378592 in words is "sixty-eight million, three hundred seventy-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432 10631 21262 31893 42524 63786 85048 127572 170096 255144 340192 510288 712277 1020576 1424554 2136831 2849108 4273662 5698216 8547324 11396432 17094648 22792864 34189296 68378592