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68289744 = 2436183281
BaseRepresentation
bin1000001001000…
…00010011010000
311202111110220210
410010200103100
5114440232434
610435404120
71456311315
oct404402320
9152443823
1068289744
1135603106
121aa53640
13111c0243
1490d8d0c
155eddee9
hex41204d0

68289744 has 80 divisors (see below), whose sum is σ = 182113344. Its totient is φ = 22041600.

The previous prime is 68289713. The next prime is 68289763. The reversal of 68289744 is 44798286.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 68289693 and 68289702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242884 + ... + 243164.

Almost surely, 268289744 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 68289744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91056672).

68289744 is an abundant number, since it is smaller than the sum of its proper divisors (113823600).

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

68289744 is a wasteful number, since it uses less digits than its factorization.

68289744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 430 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 68289744 is about 8263.7608871506. The cubic root of 68289744 is about 408.7444118231.

The spelling of 68289744 in words is "sixty-eight million, two hundred eighty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 83 122 166 183 244 249 281 332 366 488 498 562 664 732 843 976 996 1124 1328 1464 1686 1992 2248 2928 3372 3984 4496 5063 6744 10126 13488 15189 17141 20252 23323 30378 34282 40504 46646 51423 60756 68564 69969 81008 93292 102846 121512 137128 139938 186584 205692 243024 274256 279876 373168 411384 559752 822768 1119504 1422703 2845406 4268109 5690812 8536218 11381624 17072436 22763248 34144872 68289744