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552545800 = 235215717597
BaseRepresentation
bin100000111011110…
…010111000001000
31102111201020100021
4200323302320020
52112422431200
6130454550224
716456363462
oct4073627010
91374636307
10552545800
11263996924
12135068374
138a6221a1
1453553132
153379741a
hex20ef2e08

552545800 has 48 divisors (see below), whose sum is σ = 1292925060. Its totient is φ = 219598080.

The previous prime is 552545701. The next prime is 552545837. The reversal of 552545800 is 8545255.

It can be written as a sum of positive squares in 6 ways, for example, as 27311076 + 525234724 = 5226^2 + 22918^2 .

It is a super-2 number, since 2×5525458002 = 610613722195280000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22602 + ... + 40198.

Almost surely, 2552545800 is an apocalyptic number.

552545800 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 552545800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646462530).

552545800 is an abundant number, since it is smaller than the sum of its proper divisors (740379260).

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

552545800 is a wasteful number, since it uses less digits than its factorization.

552545800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17770 (or 17761 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 34.

The square root of 552545800 is about 23506.2927744891. The cubic root of 552545800 is about 820.5834633872.

The spelling of 552545800 in words is "five hundred fifty-two million, five hundred forty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 200 314 628 785 1256 1570 3140 3925 6280 7850 15700 17597 31400 35194 70388 87985 140776 175970 351940 439925 703880 879850 1759700 2762729 3519400 5525458 11050916 13813645 22101832 27627290 55254580 69068225 110509160 138136450 276272900 552545800