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68144952 = 23323413011
BaseRepresentation
bin1000000111111…
…00111100111000
311202020010022010
410003330330320
5114421114302
610432325520
71455136221
oct403747470
9152203263
1068144952
1135514347
121a9a38a0
131116c375
14909c248
155eb116c
hex40fcf38

68144952 has 64 divisors (see below), whose sum is σ = 182165760. Its totient is φ = 21190400.

The previous prime is 68144939. The next prime is 68144953. The reversal of 68144952 is 25944186.

It is a self number, because there is not a number n which added to its sum of digits gives 68144952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68144953) 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, 21127 + ... + 24137.

It is an arithmetic number, because the mean of its divisors is an integer number (2846340).

Almost surely, 268144952 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 68144952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91082880).

68144952 is an abundant number, since it is smaller than the sum of its proper divisors (114020808).

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

68144952 is a wasteful number, since it uses less digits than its factorization.

68144952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3084 (or 3080 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 68144952 is about 8254.9955784361. The cubic root of 68144952 is about 408.4553259640.

It can be divided in two parts, 68144 and 952, that added together give a palindrome (69096).

The spelling of 68144952 in words is "sixty-eight million, one hundred forty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 41 46 69 82 92 123 138 164 184 246 276 328 492 552 943 984 1886 2829 3011 3772 5658 6022 7544 9033 11316 12044 18066 22632 24088 36132 69253 72264 123451 138506 207759 246902 277012 370353 415518 493804 554024 740706 831036 987608 1481412 1662072 2839373 2962824 5678746 8518119 11357492 17036238 22714984 34072476 68144952