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68227872 = 2531395113
BaseRepresentation
bin1000001000100…
…01001100100000
311202101100001020
410010101030200
5114431242442
610434205440
71455633036
oct404211440
9152340036
1068227872
1135570679
121aa23880
131119b02b
1490c0556
155eca9ec
hex4111320

68227872 has 48 divisors (see below), whose sum is σ = 180421920. Its totient is φ = 22574592.

The previous prime is 68227871. The next prime is 68227891. The reversal of 68227872 is 27872286.

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

It is not an unprimeable number, because it can be changed into a prime (68227871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10788 + ... + 15900.

It is an arithmetic number, because the mean of its divisors is an integer number (3758790).

Almost surely, 268227872 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 68227872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90210960).

68227872 is an abundant number, since it is smaller than the sum of its proper divisors (112194048).

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

68227872 is a wasteful number, since it uses less digits than its factorization.

68227872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265 (or 5257 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 68227872 is about 8260.0164648746. The cubic root of 68227872 is about 408.6209307344.

The spelling of 68227872 in words is "sixty-eight million, two hundred twenty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 3336 4448 5113 6672 10226 13344 15339 20452 30678 40904 61356 81808 122712 163616 245424 490848 710707 1421414 2132121 2842828 4264242 5685656 8528484 11371312 17056968 22742624 34113936 68227872