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77308530 = 235131910433
BaseRepresentation
bin1001001101110…
…10001001110010
312101110200100220
410212322021302
5124242333110
611400553510
71626053205
oct446721162
9171420326
1077308530
113a703052
1221a82896
131302a2c0
14a3a593c
156bc1370
hex49ba272

77308530 has 64 divisors (see below), whose sum is σ = 210349440. Its totient is φ = 18026496.

The previous prime is 77308529. The next prime is 77308541. The reversal of 77308530 is 3580377.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 77308491 and 77308500.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2194 + ... + 12626.

It is an arithmetic number, because the mean of its divisors is an integer number (3286710).

Almost surely, 277308530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77308530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105174720).

77308530 is an abundant number, since it is smaller than the sum of its proper divisors (133040910).

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

77308530 is a wasteful number, since it uses less digits than its factorization.

77308530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10475.

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 77308530 is about 8792.5269405331. The cubic root of 77308530 is about 425.9995481491. Note that the first 3 decimals are identical.

The spelling of 77308530 in words is "seventy-seven million, three hundred eight thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 2470 3705 7410 10433 20866 31299 52165 62598 104330 135629 156495 198227 271258 312990 396454 406887 594681 678145 813774 991135 1189362 1356290 1982270 2034435 2576951 2973405 4068870 5153902 5946810 7730853 12884755 15461706 25769510 38654265 77308530