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545768064 = 2733672357
BaseRepresentation
bin100000100001111…
…100001010000000
31102000221220001000
4200201330022000
52104204034224
6130053412000
716344644352
oct4041741200
91360856030
10545768064
11260087696
1213293a000
13890bb1aa
14526ab0d2
1532da90c9
hex2087c280

545768064 has 128 divisors (see below), whose sum is σ = 1635508800. Its totient is φ = 179131392.

The previous prime is 545768059. The next prime is 545768099. The reversal of 545768064 is 460867545.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230374 + ... + 232730.

Almost surely, 2545768064 is an apocalyptic number.

545768064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817754400).

545768064 is an abundant number, since it is smaller than the sum of its proper divisors (1089740736).

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

545768064 is a wasteful number, since it uses less digits than its factorization.

545768064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 545768064 is about 23361.6793916876. The cubic root of 545768064 is about 817.2144546036.

The spelling of 545768064 in words is "five hundred forty-five million, seven hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 128 134 144 192 201 216 268 288 384 402 432 536 576 603 804 864 1072 1152 1206 1608 1728 1809 2144 2357 2412 3216 3456 3618 4288 4714 4824 6432 7071 7236 8576 9428 9648 12864 14142 14472 18856 19296 21213 25728 28284 28944 37712 38592 42426 56568 57888 63639 75424 77184 84852 113136 115776 127278 150848 157919 169704 226272 231552 254556 301696 315838 339408 452544 473757 509112 631676 678816 905088 947514 1018224 1263352 1357632 1421271 1895028 2036448 2526704 2715264 2842542 3790056 4072896 4263813 5053408 5685084 7580112 8145792 8527626 10106816 11370168 15160224 17055252 20213632 22740336 30320448 34110504 45480672 60640896 68221008 90961344 136442016 181922688 272884032 545768064