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76673106 = 23231313439
BaseRepresentation
bin1001001000111…
…11000001010010
312100021101201200
410210133001102
5124112014411
611335212030
71620465516
oct444370122
9170241650
1076673106
113a309704
1221817016
1312b67003
14a27c146
156ae7e56
hex491f052

76673106 has 48 divisors (see below), whose sum is σ = 172423680. Its totient is φ = 24598080.

The previous prime is 76673083. The next prime is 76673117. The reversal of 76673106 is 60137667.

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, 174435 + ... + 174873.

It is an arithmetic number, because the mean of its divisors is an integer number (3592160).

Almost surely, 276673106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76673106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86211840).

76673106 is an abundant number, since it is smaller than the sum of its proper divisors (95750574).

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

76673106 is a wasteful number, since it uses less digits than its factorization.

76673106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 76673106 is about 8756.3180618340. The cubic root of 76673106 is about 424.8291927229.

The spelling of 76673106 in words is "seventy-six million, six hundred seventy-three thousand, one hundred six".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 313 439 558 626 878 939 1317 1878 2634 2817 3951 5634 7902 9703 13609 19406 27218 29109 40827 58218 81654 87327 122481 137407 174654 244962 274814 412221 824442 1236663 2473326 4259617 8519234 12778851 25557702 38336553 76673106