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775421064 = 2332114322769
BaseRepresentation
bin101110001101111…
…111110010001000
32000001002110201200
4232031333302020
53042001433224
6204535544200
725133653545
oct5615776210
92001073650
10775421064
11368783360
1219782b060
13c4858542
1474dabbcc
154811e5c9
hex2e37fc88

775421064 has 96 divisors (see below), whose sum is σ = 2344399200. Its totient is φ = 229501440.

The previous prime is 775421063. The next prime is 775421123. The reversal of 775421064 is 460124577.

775421064 is a `hidden beast` number, since 7 + 7 + 542 + 106 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (775421063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22672 + ... + 45440.

It is an arithmetic number, because the mean of its divisors is an integer number (24420825).

Almost surely, 2775421064 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 775421064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172199600).

775421064 is an abundant number, since it is smaller than the sum of its proper divisors (1568978136).

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

775421064 is a wasteful number, since it uses less digits than its factorization.

775421064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22835 (or 22828 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 775421064 is about 27846.3833199215. The cubic root of 775421064 is about 918.7115960068.

It can be divided in two parts, 77542 and 1064, that added together give a triangular number (78606 = T396).

The spelling of 775421064 in words is "seven hundred seventy-five million, four hundred twenty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 43 44 66 72 86 88 99 129 132 172 198 258 264 344 387 396 473 516 774 792 946 1032 1419 1548 1892 2838 3096 3784 4257 5676 8514 11352 17028 22769 34056 45538 68307 91076 136614 182152 204921 250459 273228 409842 500918 546456 751377 819684 979067 1001836 1502754 1639368 1958134 2003672 2254131 2937201 3005508 3916268 4508262 5874402 6011016 7832536 8811603 9016524 10769737 11748804 17623206 18033048 21539474 23497608 32309211 35246412 43078948 64618422 70492824 86157896 96927633 129236844 193855266 258473688 387710532 775421064