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552564100 = 2252111034877
BaseRepresentation
bin100000111011110…
…111010110000100
31102111202011110001
4200323313112010
52112424022400
6130455211044
716456501024
oct4073672604
91374664401
10552564100
112639a9650
12135076a84
138a62a60a
1453559a84
153379ca6a
hex20ef7584

552564100 has 72 divisors (see below), whose sum is σ = 1321040448. Its totient is φ = 198940800.

The previous prime is 552564091. The next prime is 552564139. The reversal of 552564100 is 1465255.

552564100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110862 + ... + 115738.

It is an arithmetic number, because the mean of its divisors is an integer number (18347784).

Almost surely, 2552564100 is an apocalyptic number.

552564100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552564100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660520224).

552564100 is an abundant number, since it is smaller than the sum of its proper divisors (768476348).

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

552564100 is a wasteful number, since it uses less digits than its factorization.

552564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 552564100 is about 23506.6820287339. The cubic root of 552564100 is about 820.5925223718.

The spelling of 552564100 in words is "five hundred fifty-two million, five hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 206 220 275 412 515 550 1030 1100 1133 2060 2266 2575 4532 4877 5150 5665 9754 10300 11330 19508 22660 24385 28325 48770 53647 56650 97540 107294 113300 121925 214588 243850 268235 487700 502331 536470 1004662 1072940 1341175 2009324 2511655 2682350 5023310 5364700 5525641 10046620 11051282 12558275 22102564 25116550 27628205 50233100 55256410 110512820 138141025 276282050 552564100