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77321016 = 23324773313
BaseRepresentation
bin1001001101111…
…01001100111000
312101111022111100
410212331030320
5124243233031
611401131400
71626134463
oct446751470
9171438440
1077321016
113a711473
1221a89b60
1313032ba6
14a3aa2da
156bc4de6
hex49bd338

77321016 has 96 divisors (see below), whose sum is σ = 217488960. Its totient is φ = 24800256.

The previous prime is 77320993. The next prime is 77321021. The reversal of 77321016 is 61012377.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246876 + ... + 247188.

It is an arithmetic number, because the mean of its divisors is an integer number (2265510).

Almost surely, 277321016 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 77321016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108744480).

77321016 is an abundant number, since it is smaller than the sum of its proper divisors (140167944).

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

77321016 is a wasteful number, since it uses less digits than its factorization.

77321016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 77321016 is about 8793.2369466539. The cubic root of 77321016 is about 426.0224811253.

The spelling of 77321016 in words is "seventy-seven million, three hundred twenty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 73 94 141 146 188 219 282 292 313 376 423 438 564 584 626 657 846 876 939 1128 1252 1314 1692 1752 1878 2504 2628 2817 3384 3431 3756 5256 5634 6862 7512 10293 11268 13724 14711 20586 22536 22849 27448 29422 30879 41172 44133 45698 58844 61758 68547 82344 88266 91396 117688 123516 132399 137094 176532 182792 205641 247032 264798 274188 353064 411282 529596 548376 822564 1059192 1073903 1645128 2147806 3221709 4295612 6443418 8591224 9665127 12886836 19330254 25773672 38660508 77321016