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68493984 = 2531371773
BaseRepresentation
bin1000001010100…
…10001010100000
311202212212002020
410011102022200
5120013301414
610444021440
71461121626
oct405221240
9152785066
1068493984
11357325a9
121ab31880
13112621b0
14914d516
15602e7a9
hex41522a0

68493984 has 96 divisors (see below), whose sum is σ = 196608384. Its totient is φ = 20751360.

The previous prime is 68493979. The next prime is 68493991. The reversal of 68493984 is 48939486.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88222 + ... + 88994.

It is an arithmetic number, because the mean of its divisors is an integer number (2048004).

Almost surely, 268493984 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 68493984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98304192).

68493984 is an abundant number, since it is smaller than the sum of its proper divisors (128114400).

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

68493984 is a wasteful number, since it uses less digits than its factorization.

68493984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 862 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 68493984 is about 8276.1092307920. The cubic root of 68493984 is about 409.1514952602.

The spelling of 68493984 in words is "sixty-eight million, four hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 71 78 96 104 142 156 208 213 284 312 416 426 568 624 773 852 923 1136 1248 1546 1704 1846 2272 2319 2769 3092 3408 3692 4638 5538 6184 6816 7384 9276 10049 11076 12368 14768 18552 20098 22152 24736 29536 30147 37104 40196 44304 54883 60294 74208 80392 88608 109766 120588 160784 164649 219532 241176 321568 329298 439064 482352 658596 713479 878128 964704 1317192 1426958 1756256 2140437 2634384 2853916 4280874 5268768 5707832 8561748 11415664 17123496 22831328 34246992 68493984