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68046048 = 2533711251
BaseRepresentation
bin1000000111001…
…00110011100000
311202001002122000
410003210303200
5114404433143
610430244000
71454244660
oct403446340
9152032560
1068046048
1135457004
121a956600
1311136345
1490741a0
155e91bd3
hex40e4ce0

68046048 has 96 divisors (see below), whose sum is σ = 226840320. Its totient is φ = 19440000.

The previous prime is 68046047. The next prime is 68046059. The reversal of 68046048 is 84064086.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68046047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423 + ... + 11673.

It is an arithmetic number, because the mean of its divisors is an integer number (2362920).

Almost surely, 268046048 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 68046048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113420160).

68046048 is an abundant number, since it is smaller than the sum of its proper divisors (158794272).

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

68046048 is a wasteful number, since it uses less digits than its factorization.

68046048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11277 (or 11263 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 68046048 is about 8249.0028488297. The cubic root of 68046048 is about 408.2576227626.

The spelling of 68046048 in words is "sixty-eight million, forty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 11251 22502 33753 45004 67506 78757 90008 101259 135012 157514 180016 202518 236271 270024 303777 315028 360032 405036 472542 540048 607554 630056 708813 810072 945084 1080096 1215108 1260112 1417626 1620144 1890168 2126439 2430216 2520224 2835252 3240288 3780336 4252878 4860432 5670504 7560672 8505756 9720864 11341008 17011512 22682016 34023024 68046048