Search a number
-
+
68411952 = 243477541
BaseRepresentation
bin1000001001111…
…10001000110000
311202201200120000
410010332020300
5120003140302
610442150000
71460330520
oct404761060
9152650500
1068411952
1135686a04
121aab2300
1311233a5b
14912b680
15601531c
hex413e230

68411952 has 100 divisors (see below), whose sum is σ = 226320336. Its totient is φ = 19543680.

The previous prime is 68411933. The next prime is 68411953. The reversal of 68411952 is 25911486.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68411953) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5302 + ... + 12842.

Almost surely, 268411952 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 68411952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113160168).

68411952 is an abundant number, since it is smaller than the sum of its proper divisors (157908384).

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

68411952 is a wasteful number, since it uses less digits than its factorization.

68411952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7568 (or 7553 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 68411952 is about 8271.1517940369. The cubic root of 68411952 is about 408.9880895538.

The spelling of 68411952 in words is "sixty-eight million, four hundred eleven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 7541 9072 15082 22623 30164 45246 52787 60328 67869 90492 105574 120656 135738 158361 180984 203607 211148 271476 316722 361968 407214 422296 475083 542952 610821 633444 814428 844592 950166 1085904 1221642 1266888 1425249 1628856 1900332 2443284 2533776 2850498 3257712 3800664 4275747 4886568 5700996 7601328 8551494 9773136 11401992 17102988 22803984 34205976 68411952