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68478048 = 253429911
BaseRepresentation
bin1000001010011…
…10010001100000
311202212001020000
410011032101200
5120012244143
610443420000
71461024312
oct405162140
9152761200
1068478048
1135721631
121ab24600
1311257b72
1491477b2
156029bd3
hex414e460

68478048 has 120 divisors (see below), whose sum is σ = 208565280. Its totient is φ = 22014720.

The previous prime is 68478037. The next prime is 68478073. The reversal of 68478048 is 84087486.

It is a super-3 number, since 3×684780483 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68477994 and 68478012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74713 + ... + 75623.

It is an arithmetic number, because the mean of its divisors is an integer number (1738044).

Almost surely, 268478048 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 68478048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104282640).

68478048 is an abundant number, since it is smaller than the sum of its proper divisors (140087232).

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

68478048 is a wasteful number, since it uses less digits than its factorization.

68478048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 68478048 is about 8275.1464035387. The cubic root of 68478048 is about 409.1197613590.

The spelling of 68478048 in words is "sixty-eight million, four hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 648 696 783 864 911 928 1044 1296 1392 1566 1822 2088 2349 2592 2733 2784 3132 3644 4176 4698 5466 6264 7288 8199 8352 9396 10932 12528 14576 16398 18792 21864 24597 25056 26419 29152 32796 37584 43728 49194 52838 65592 73791 75168 79257 87456 98388 105676 131184 147582 158514 196776 211352 237771 262368 295164 317028 393552 422704 475542 590328 634056 713313 787104 845408 951084 1180656 1268112 1426626 1902168 2139939 2361312 2536224 2853252 3804336 4279878 5706504 7608672 8559756 11413008 17119512 22826016 34239024 68478048