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77012046 = 235211751
BaseRepresentation
bin1001001011100…
…01110001001110
312100220121200000
410211301301032
5124203341141
611350345130
71623406626
oct445616116
9170817600
1077012046
113a520321
122195b1a6
1312c55377
14a329886
156b635b6
hex4971c4e

77012046 has 48 divisors (see below), whose sum is σ = 174091008. Its totient is φ = 25515000.

The previous prime is 77012041. The next prime is 77012053. The reversal of 77012046 is 64021077.

It is a super-2 number, since 2×770120462 = 11861710458212232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77012041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102171 + ... + 102921.

It is an arithmetic number, because the mean of its divisors is an integer number (3626896).

Almost surely, 277012046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77012046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87045504).

77012046 is an abundant number, since it is smaller than the sum of its proper divisors (97078962).

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

77012046 is a wasteful number, since it uses less digits than its factorization.

77012046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 77012046 is about 8775.6507451015. The cubic root of 77012046 is about 425.4542704409.

The spelling of 77012046 in words is "seventy-seven million, twelve thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 211 243 422 486 633 751 1266 1502 1899 2253 3798 4506 5697 6759 11394 13518 17091 20277 34182 40554 51273 60831 102546 121662 158461 182493 316922 364986 475383 950766 1426149 2852298 4278447 8556894 12835341 25670682 38506023 77012046