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552001140 = 223258934457
BaseRepresentation
bin100000111001101…
…101111001110100
31102110200120012200
4200321231321310
52112303014030
6130435144500
716451634525
oct4071557164
91373616180
10552001140
11263654699
12134a45130
138a4912c2
145345084c
15336dad60
hex20e6de74

552001140 has 72 divisors (see below), whose sum is σ = 1693266120. Its totient is φ = 145542144.

The previous prime is 552001103. The next prime is 552001147. The reversal of 552001140 is 41100255.

552001140 is a `hidden beast` number, since 5 + 520 + 0 + 1 + 140 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27499536 + 524501604 = 5244^2 + 22902^2 .

It is a super-2 number, since 2×5520011402 = 609410517122599200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552001147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1209 + ... + 33248.

It is an arithmetic number, because the mean of its divisors is an integer number (23517585).

Almost surely, 2552001140 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 552001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846633060).

552001140 is an abundant number, since it is smaller than the sum of its proper divisors (1141264980).

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

552001140 is a wasteful number, since it uses less digits than its factorization.

552001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34561 (or 34556 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 552001140 is about 23494.7045097401. The cubic root of 552001140 is about 820.3137506484.

Adding to 552001140 its reverse (41100255), we get a palindrome (593101395).

The spelling of 552001140 in words is "five hundred fifty-two million, one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 1068 1335 1602 1780 2670 3204 4005 5340 8010 16020 34457 68914 103371 137828 172285 206742 310113 344570 413484 516855 620226 689140 1033710 1240452 1550565 2067420 3066673 3101130 6133346 6202260 9200019 12266692 15333365 18400038 27600057 30666730 36800076 46000095 55200114 61333460 92000190 110400228 138000285 184000380 276000570 552001140