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68735952 = 24367183
BaseRepresentation
bin1000001100011…
…01001111010000
311210100011000000
410012031033100
5120044022302
610453130000
71463150235
oct406151720
9153304000
1068735952
113588837a
121b029900
131131837c
1491b378c
15607b31c
hex418d3d0

68735952 has 140 divisors (see below), whose sum is σ = 204924384. Its totient is φ = 22317120.

The previous prime is 68735951. The next prime is 68735957. The reversal of 68735952 is 25953786.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (453600) is a multiple of the sum of its prime factors (180).

It is a junction number, because it is equal to n+sod(n) for n = 68735898 and 68735907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68735951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 828103 + ... + 828185.

Almost surely, 268735952 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 68735952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102462192).

68735952 is an abundant number, since it is smaller than the sum of its proper divisors (136188432).

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

68735952 is an equidigital number, since it uses as much as digits as its factorization.

68735952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 68735952 is about 8290.7148063361. The cubic root of 68735952 is about 409.6327307931.

The spelling of 68735952 in words is "sixty-eight million, seven hundred thirty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 83 108 142 144 162 166 213 216 243 249 284 324 332 426 432 486 498 568 639 648 664 729 747 852 972 996 1136 1278 1296 1328 1458 1494 1704 1917 1944 1992 2241 2556 2916 2988 3408 3834 3888 3984 4482 5112 5751 5832 5893 5976 6723 7668 8964 10224 11502 11664 11786 11952 13446 15336 17253 17679 17928 20169 23004 23572 26892 30672 34506 35358 35856 40338 46008 47144 51759 53037 53784 60507 69012 70716 80676 92016 94288 103518 106074 107568 121014 138024 141432 159111 161352 207036 212148 242028 276048 282864 318222 322704 414072 424296 477333 484056 636444 828144 848592 954666 968112 1272888 1431999 1909332 2545776 2863998 3818664 4295997 5727996 7637328 8591994 11455992 17183988 22911984 34367976 68735952