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552154000 = 2453535209
BaseRepresentation
bin100000111010010…
…011001110010000
31102110222022220011
4200322103032100
52112322412000
6130442324304
716453142266
oct4072231620
91373868804
10552154000
11263749522
12134ab9694
138a515a58
1453490436
153371b2ba
hex20e93390

552154000 has 80 divisors (see below), whose sum is σ = 1360560240. Its totient is φ = 216652800.

The previous prime is 552153911. The next prime is 552154027. The reversal of 552154000 is 451255.

It can be written as a sum of positive squares in 8 ways, for example, as 15397776 + 536756224 = 3924^2 + 23168^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 103396 + ... + 108604.

It is an arithmetic number, because the mean of its divisors is an integer number (17007003).

Almost surely, 2552154000 is an apocalyptic number.

552154000 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 552154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680280120).

552154000 is an abundant number, since it is smaller than the sum of its proper divisors (808406240).

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

552154000 is a wasteful number, since it uses less digits than its factorization.

552154000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5285 (or 5269 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 552154000 is about 23497.9573580343. The cubic root of 552154000 is about 820.3894640108.

The spelling of 552154000 in words is "five hundred fifty-two million, one hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 848 1000 1060 1325 2000 2120 2650 4240 5209 5300 6625 10418 10600 13250 20836 21200 26045 26500 41672 52090 53000 83344 104180 106000 130225 208360 260450 276077 416720 520900 552154 651125 1041800 1104308 1302250 1380385 2083600 2208616 2604500 2760770 4417232 5209000 5521540 6901925 10418000 11043080 13803850 22086160 27607700 34509625 55215400 69019250 110430800 138038500 276077000 552154000