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77020308 = 223661433
BaseRepresentation
bin1001001011100…
…11110010010100
312100221001000000
410211303302110
5124204122213
611350451300
71623443001
oct445636224
9170831000
1077020308
113a526552
1221963b30
1312c59061
14a32c8a8
156b65c73
hex4973c94

77020308 has 84 divisors (see below), whose sum is σ = 205873108. Its totient is φ = 25194240.

The previous prime is 77020301. The next prime is 77020309. The reversal of 77020308 is 80302077.

It can be written as a sum of positive squares in 2 ways, for example, as 5143824 + 71876484 = 2268^2 + 8478^2 .

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 (77020301) 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 27 ways as a sum of consecutive naturals, for example, 177660 + ... + 178092.

Almost surely, 277020308 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 77020308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102936554).

77020308 is an abundant number, since it is smaller than the sum of its proper divisors (128852800).

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

77020308 is a wasteful number, since it uses less digits than its factorization.

77020308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 499 counting only the distinct ones).

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

The square root of 77020308 is about 8776.1214667984. The cubic root of 77020308 is about 425.4694844136.

The spelling of 77020308 in words is "seventy-seven million, twenty thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 243 244 324 366 433 486 549 729 732 866 972 1098 1299 1458 1647 1732 2196 2598 2916 3294 3897 4941 5196 6588 7794 9882 11691 14823 15588 19764 23382 26413 29646 35073 44469 46764 52826 59292 70146 79239 88938 105219 105652 140292 158478 177876 210438 237717 315657 316956 420876 475434 631314 713151 950868 1262628 1426302 2139453 2852604 4278906 6418359 8557812 12836718 19255077 25673436 38510154 77020308