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544268032 = 2871127611
BaseRepresentation
bin100000011100001…
…101111100000000
31101221010200101021
4200130031330000
52103313034112
6130001315224
716326126160
oct4034157400
91357120337
10544268032
1125a2526a0
12132335b14
13889b44b9
14523da5a0
1532bae907
hex2070df00

544268032 has 72 divisors (see below), whose sum is σ = 1354534272. Its totient is φ = 212044800.

The previous prime is 544268029. The next prime is 544268041. The reversal of 544268032 is 230862445.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5907 + ... + 33517.

It is an arithmetic number, because the mean of its divisors is an integer number (18812976).

Almost surely, 2544268032 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 544268032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677267136).

544268032 is an abundant number, since it is smaller than the sum of its proper divisors (810266240).

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

544268032 is a wasteful number, since it uses less digits than its factorization.

544268032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27645 (or 27631 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 544268032 is about 23329.5527603938. The cubic root of 544268032 is about 816.4650687356.

The spelling of 544268032 in words is "five hundred forty-four million, two hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2816 4928 9856 19712 27611 55222 110444 193277 220888 303721 386554 441776 607442 773108 883552 1214884 1546216 1767104 2126047 2429768 3092432 3534208 4252094 4859536 6184864 7068416 8504188 9719072 12369728 17008376 19438144 24739456 34016752 38876288 49478912 68033504 77752576 136067008 272134016 544268032