Search a number
-
+
68265792 = 2632716931
BaseRepresentation
bin1000001000110…
…10011101000000
311202110021001200
410010122131000
5114434001132
610435101200
71456151430
oct404323500
9152407050
1068265792
1135597111
121aa41800
13111b237a
1490d02c0
155ed6d7c
hex411a740

68265792 has 84 divisors (see below), whose sum is σ = 223637856. Its totient is φ = 19503360.

The previous prime is 68265763. The next prime is 68265793. The reversal of 68265792 is 29756286.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68265793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4434 + ... + 12497.

Almost surely, 268265792 is an apocalyptic number.

It is an amenable number.

68265792 is an abundant number, since it is smaller than the sum of its proper divisors (155372064).

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

68265792 is a wasteful number, since it uses less digits than its factorization.

68265792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16956 (or 16943 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 68265792 is about 8262.3115409672. The cubic root of 68265792 is about 408.6966184532.

The spelling of 68265792 in words is "sixty-eight million, two hundred sixty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 16931 33862 50793 67724 101586 118517 135448 152379 203172 237034 270896 304758 355551 406344 474068 541792 609516 711102 812688 948136 1066653 1083584 1219032 1422204 1625376 1896272 2133306 2438064 2844408 3250752 3792544 4266612 4876128 5688816 7585088 8533224 9752256 11377632 17066448 22755264 34132896 68265792