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545517312 = 2832389347
BaseRepresentation
bin100000100000111…
…110111100000000
31102000111011001220
4200200332330000
52104123023222
6130044155040
716342551324
oct4040767400
91360434056
10545517312
1125aa2625a
12132838a80
1389031012
1452643984
1532d59b5c
hex2083ef00

545517312 has 144 divisors (see below), whose sum is σ = 1536433920. Its totient is φ = 171483136.

The previous prime is 545517311. The next prime is 545517317. The reversal of 545517312 is 213715545.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545517311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1571923 + ... + 1572269.

It is an arithmetic number, because the mean of its divisors is an integer number (10669680).

Almost surely, 2545517312 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 545517312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768216960).

545517312 is an abundant number, since it is smaller than the sum of its proper divisors (990916608).

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

545517312 is a wasteful number, since it uses less digits than its factorization.

545517312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 464 counting only the distinct ones).

The product of its digits is 21000, while the sum is 33.

The square root of 545517312 is about 23356.3120376484. The cubic root of 545517312 is about 817.0892796050.

The spelling of 545517312 in words is "five hundred forty-five million, five hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 89 92 96 128 138 178 184 192 256 267 276 347 356 368 384 534 552 694 712 736 768 1041 1068 1104 1388 1424 1472 2047 2082 2136 2208 2776 2848 2944 4094 4164 4272 4416 5552 5696 5888 6141 7981 8188 8328 8544 8832 11104 11392 12282 15962 16376 16656 17088 17664 22208 22784 23943 24564 30883 31924 32752 33312 34176 44416 47886 49128 61766 63848 65504 66624 68352 88832 92649 95772 98256 123532 127696 131008 133248 185298 191544 196512 247064 255392 262016 266496 370596 383088 393024 494128 510784 524032 710309 741192 766176 786048 988256 1021568 1420618 1482384 1532352 1572096 1976512 2043136 2130927 2841236 2964768 3064704 3953024 4261854 5682472 5929536 6129408 7906048 8523708 11364944 11859072 17047416 22729888 23718144 34094832 45459776 68189664 90919552 136379328 181839104 272758656 545517312