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67808916 = 22327416563
BaseRepresentation
bin1000000101010…
…10111010010100
311201121001100100
410002222322110
5114324341131
610421214100
71452236430
oct402527224
9151531310
1067808916
113530492a
121a861330
1311082426
1490119c0
155e467e6
hex40aae94

67808916 has 72 divisors (see below), whose sum is σ = 200700864. Its totient is φ = 18898560.

The previous prime is 67808887. The next prime is 67808933. The reversal of 67808916 is 61980876.

It is a happy number.

It is a super-3 number, since 3×678089163 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7051 + ... + 13613.

It is an arithmetic number, because the mean of its divisors is an integer number (2787512).

Almost surely, 267808916 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 67808916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100350432).

67808916 is an abundant number, since it is smaller than the sum of its proper divisors (132891948).

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

67808916 is a wasteful number, since it uses less digits than its factorization.

67808916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6621 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 67808916 is about 8234.6169309811. The cubic root of 67808916 is about 407.7828284838.

The spelling of 67808916 in words is "sixty-seven million, eight hundred eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 5166 6563 10332 13126 19689 26252 39378 45941 59067 78756 91882 118134 137823 183764 236268 269083 275646 413469 538166 551292 807249 826938 1076332 1614498 1653876 1883581 2421747 3228996 3767162 4843494 5650743 7534324 9686988 11301486 16952229 22602972 33904458 67808916