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68535744 = 263491727
BaseRepresentation
bin1000001010111…
…00010111000000
311202221222100220
410011130113000
5120021120434
610444543040
71461354444
oct405342700
9152858326
1068535744
1135760a12
121ab51a80
13112781c4
149160824
15603bd49
hex415c5c0

68535744 has 56 divisors (see below), whose sum is σ = 181953408. Its totient is φ = 22767360.

The previous prime is 68535737. The next prime is 68535767. The reversal of 68535744 is 44753586.

It is a super-3 number, since 3×685357443 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68535696 and 68535705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93909 + ... + 94635.

It is an arithmetic number, because the mean of its divisors is an integer number (3249168).

Almost surely, 268535744 is an apocalyptic number.

68535744 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 68535744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90976704).

68535744 is an abundant number, since it is smaller than the sum of its proper divisors (113417664).

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

68535744 is a wasteful number, since it uses less digits than its factorization.

68535744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1223 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 68535744 is about 8278.6317710114. The cubic root of 68535744 is about 409.2346300321.

The spelling of 68535744 in words is "sixty-eight million, five hundred thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 491 727 982 1454 1473 1964 2181 2908 2946 3928 4362 5816 5892 7856 8724 11632 11784 15712 17448 23264 23568 31424 34896 46528 47136 69792 94272 139584 356957 713914 1070871 1427828 2141742 2855656 4283484 5711312 8566968 11422624 17133936 22845248 34267872 68535744