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545056624 = 24729414093
BaseRepresentation
bin100000011111001…
…110011101110000
31101222121202010101
4200133032131300
52104013302444
6130030242144
716335622240
oct4037163560
91358552111
10545056624
1125a741122
12132656354
1388bcc418
1452563b20
1532cb83d4
hex207ce770

545056624 has 80 divisors (see below), whose sum is σ = 1279293120. Its totient is φ = 219985920.

The previous prime is 545056613. The next prime is 545056637. The reversal of 545056624 is 426650545.

545056624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 131122 + ... + 135214.

It is an arithmetic number, because the mean of its divisors is an integer number (15991164).

Almost surely, 2545056624 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 545056624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639646560).

545056624 is an abundant number, since it is smaller than the sum of its proper divisors (734236496).

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

545056624 is a wasteful number, since it uses less digits than its factorization.

545056624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The square root of 545056624 is about 23346.4477811936. The cubic root of 545056624 is about 816.8592048788.

The spelling of 545056624 in words is "five hundred forty-five million, fifty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 41 56 58 82 112 116 164 203 232 287 328 406 464 574 656 812 1148 1189 1624 2296 2378 3248 4093 4592 4756 8186 8323 9512 16372 16646 19024 28651 32744 33292 57302 65488 66584 114604 118697 133168 167813 229208 237394 335626 458416 474788 671252 830879 949576 1174691 1342504 1661758 1899152 2349382 2685008 3323516 4698764 4866577 6647032 9397528 9733154 13294064 18795056 19466308 34066039 38932616 68132078 77865232 136264156 272528312 545056624