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67966444 = 22713613061
BaseRepresentation
bin1000000110100…
…01010111101100
311201220001102201
410003101113230
5114344411234
610424431244
71453463620
oct403212754
9151801381
1067966444
1135402217
121a918524
1311109040
149053180
155e78314
hex40d15ec

67966444 has 48 divisors (see below), whose sum is σ = 148837696. Its totient is φ = 26438400.

The previous prime is 67966441. The next prime is 67966471. The reversal of 67966444 is 44466976.

It is a junction number, because it is equal to n+sod(n) for n = 67966394 and 67966403.

It is not an unprimeable number, because it can be changed into a prime (67966441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20674 + ... + 23734.

Almost surely, 267966444 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 67966444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74418848).

67966444 is an abundant number, since it is smaller than the sum of its proper divisors (80871252).

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

67966444 is a wasteful number, since it uses less digits than its factorization.

67966444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 3144 counting only the distinct ones).

The product of its digits is 870912, while the sum is 46.

The square root of 67966444 is about 8244.1763688073. The cubic root of 67966444 is about 408.0983599202.

The spelling of 67966444 in words is "sixty-seven million, nine hundred sixty-six thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 61 91 122 182 244 364 427 793 854 1586 1708 3061 3172 5551 6122 11102 12244 21427 22204 39793 42854 79586 85708 159172 186721 278551 373442 557102 746884 1114204 1307047 2427373 2614094 4854746 5228188 9709492 16991611 33983222 67966444