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545304672 = 253211434003
BaseRepresentation
bin100000100000001…
…011000001100000
31102000002100101100
4200200023001200
52104044222142
6130035434400
716341004353
oct4040130140
91360070340
10545304672
1125a8a0520
12132755a00
1388c882b3
14525ca29a
1532d16b4c
hex2080b060

545304672 has 144 divisors (see below), whose sum is σ = 1731457728. Its totient is φ = 161360640.

The previous prime is 545304667. The next prime is 545304679. The reversal of 545304672 is 276403545.

545304672 is a `hidden beast` number, since 54 + 530 + 4 + 6 + 72 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545304679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134223 + ... + 138225.

It is an arithmetic number, because the mean of its divisors is an integer number (12024012).

Almost surely, 2545304672 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 545304672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865728864).

545304672 is an abundant number, since it is smaller than the sum of its proper divisors (1186153056).

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

545304672 is a wasteful number, since it uses less digits than its factorization.

545304672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 545304672 is about 23351.7595054420. The cubic root of 545304672 is about 816.9830999961.

The spelling of 545304672 in words is "five hundred forty-five million, three hundred four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 43 44 48 66 72 86 88 96 99 129 132 144 172 176 198 258 264 288 344 352 387 396 473 516 528 688 774 792 946 1032 1056 1376 1419 1548 1584 1892 2064 2838 3096 3168 3784 4003 4128 4257 5676 6192 7568 8006 8514 11352 12009 12384 15136 16012 17028 22704 24018 32024 34056 36027 44033 45408 48036 64048 68112 72054 88066 96072 128096 132099 136224 144108 172129 176132 192144 264198 288216 344258 352264 384288 396297 516387 528396 576432 688516 704528 792594 1032774 1056792 1152864 1377032 1409056 1549161 1585188 1893419 2065548 2113584 2754064 3098322 3170376 3786838 4131096 4227168 5508128 5680257 6196644 6340752 7573676 8262192 11360514 12393288 12681504 15147352 16524384 17040771 22721028 24786576 30294704 34081542 45442056 49573152 60589408 68163084 90884112 136326168 181768224 272652336 545304672