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68186592 = 25321719733
BaseRepresentation
bin1000001000001…
…11000111100000
311202022020102100
410010013013200
5114423432332
610433250400
71455401505
oct404070740
9152266370
1068186592
1135542661
121aa03a00
13111852c6
1490ad4ac
155ebd67c
hex41071e0

68186592 has 144 divisors (see below), whose sum is σ = 216412560. Its totient is φ = 20238336.

The previous prime is 68186579. The next prime is 68186603. The reversal of 68186592 is 29568186.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×681865922 = 9298822657148928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92658 + ... + 93390.

It is an arithmetic number, because the mean of its divisors is an integer number (1502865).

Almost surely, 268186592 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 68186592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108206280).

68186592 is an abundant number, since it is smaller than the sum of its proper divisors (148225968).

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

68186592 is a wasteful number, since it uses less digits than its factorization.

68186592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 774 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 68186592 is about 8257.5173024342. The cubic root of 68186592 is about 408.5385046206.

The spelling of 68186592 in words is "sixty-eight million, one hundred eighty-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 32 34 36 38 48 51 57 68 72 76 96 102 114 136 144 152 153 171 204 228 272 288 304 306 323 342 408 456 544 608 612 646 684 733 816 912 969 1224 1292 1368 1466 1632 1824 1938 2199 2448 2584 2736 2907 2932 3876 4398 4896 5168 5472 5814 5864 6597 7752 8796 10336 11628 11728 12461 13194 13927 15504 17592 23256 23456 24922 26388 27854 31008 35184 37383 41781 46512 49844 52776 55708 70368 74766 83562 93024 99688 105552 111416 112149 125343 149532 167124 199376 211104 222832 224298 236759 250686 299064 334248 398752 445664 448596 473518 501372 598128 668496 710277 897192 947036 1002744 1196256 1336992 1420554 1794384 1894072 2005488 2130831 2841108 3588768 3788144 4010976 4261662 5682216 7576288 8523324 11364432 17046648 22728864 34093296 68186592