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552070656 = 2932235209
BaseRepresentation
bin100000111001111…
…110111000000000
31102110211002120100
4200321332320000
52112312230111
6130440442400
716452344304
oct4071767000
91373732510
10552070656
112636a1945
12134a79400
138a4b6b37
145346bd04
1533701756
hex20e7ee00

552070656 has 120 divisors (see below), whose sum is σ = 1662906960. Its totient is φ = 175988736.

The previous prime is 552070637. The next prime is 552070663. The reversal of 552070656 is 656070255.

552070656 is a `hidden beast` number, since 5 + 520 + 70 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 552070656.

It is a congruent number.

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, 103380 + ... + 108588.

It is an arithmetic number, because the mean of its divisors is an integer number (13857558).

Almost surely, 2552070656 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 552070656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831453480).

552070656 is an abundant number, since it is smaller than the sum of its proper divisors (1110836304).

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

552070656 is a wasteful number, since it uses less digits than its factorization.

552070656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 552070656 is about 23496.1838603634. The cubic root of 552070656 is about 820.3481844765.

It can be divided in two parts, 5520 and 70656, that added together give a square (76176 = 2762).

The spelling of 552070656 in words is "five hundred fifty-two million, seventy thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1104 1152 1472 1536 1656 2208 2304 2944 3312 4416 4608 5209 5888 6624 8832 10418 11776 13248 15627 17664 20836 26496 31254 35328 41672 46881 52992 62508 83344 93762 105984 119807 125016 166688 187524 239614 250032 333376 359421 375048 479228 500064 666752 718842 750096 958456 1000128 1078263 1333504 1437684 1500192 1916912 2000256 2156526 2667008 2875368 3000384 3833824 4000512 4313052 5750736 6000768 7667648 8001024 8626104 11501472 12001536 15335296 17252208 23002944 24003072 30670592 34504416 46005888 61341184 69008832 92011776 138017664 184023552 276035328 552070656