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545497056 = 253213367397
BaseRepresentation
bin100000100000111…
…001111111100000
31102000110010021200
4200200321333200
52104121401211
6130043521200
716342435266
oct4040717740
91360403250
10545497056
1125aa12015
12132829200
1389024a30
145263a436
1532d53b56
hex20839fe0

545497056 has 144 divisors (see below), whose sum is σ = 1679356224. Its totient is φ = 166966272.

The previous prime is 545497027. The next prime is 545497063. The reversal of 545497056 is 650794545.

545497056 is a `hidden beast` number, since 54 + 549 + 7 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1373850 + ... + 1374246.

It is an arithmetic number, because the mean of its divisors is an integer number (11662196).

Almost surely, 2545497056 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 545497056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839678112).

545497056 is an abundant number, since it is smaller than the sum of its proper divisors (1133859168).

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

545497056 is a wasteful number, since it uses less digits than its factorization.

545497056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 545497056 is about 23355.8784035197. The cubic root of 545497056 is about 817.0791661677.

The spelling of 545497056 in words is "five hundred forty-five million, four hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 367 397 416 468 624 734 794 936 1101 1191 1248 1468 1588 1872 2202 2382 2936 3176 3303 3573 3744 4404 4764 4771 5161 5872 6352 6606 7146 8808 9528 9542 10322 11744 12704 13212 14292 14313 15483 17616 19056 19084 20644 26424 28584 28626 30966 35232 38112 38168 41288 42939 46449 52848 57168 57252 61932 76336 82576 85878 92898 105696 114336 114504 123864 145699 152672 165152 171756 185796 229008 247728 291398 343512 371592 437097 458016 495456 582796 687024 743184 874194 1165592 1311291 1374048 1486368 1748388 1894087 2331184 2622582 3496776 3788174 4662368 5245164 5682261 6993552 7576348 10490328 11364522 13987104 15152696 17046783 20980656 22729044 30305392 34093566 41961312 45458088 60610784 68187132 90916176 136374264 181832352 272748528 545497056