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552642560 = 2115291861
BaseRepresentation
bin100000111100001…
…010100000000000
31102111220011001222
4200330022200000
52112434030220
6130501014212
716460245541
oct4074124000
91374804058
10552642560
11263a52598
121350b4368
138a657242
145357a4c8
15337b5e25
hex20f0a800

552642560 has 96 divisors (see below), whose sum is σ = 1372480200. Its totient is φ = 213319680.

The previous prime is 552642553. The next prime is 552642583. The reversal of 552642560 is 65246255.

It can be written as a sum of positive squares in 4 ways, for example, as 252937216 + 299705344 = 15904^2 + 17312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 552642560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296030 + ... + 297890.

Almost surely, 2552642560 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 552642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686240100).

552642560 is an abundant number, since it is smaller than the sum of its proper divisors (819837640).

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

552642560 is a wasteful number, since it uses less digits than its factorization.

552642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 552642560 is about 23508.3508566637. The cubic root of 552642560 is about 820.6313598824.

The spelling of 552642560 in words is "five hundred fifty-two million, six hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 928 1024 1160 1280 1856 1861 2048 2320 2560 3712 3722 4640 5120 7424 7444 9280 9305 10240 14848 14888 18560 18610 29696 29776 37120 37220 53969 59392 59552 74240 74440 107938 119104 148480 148880 215876 238208 269845 296960 297760 431752 476416 539690 595520 863504 952832 1079380 1191040 1727008 1905664 2158760 2382080 3454016 3811328 4317520 4764160 6908032 8635040 9528320 13816064 17270080 19056640 27632128 34540160 55264256 69080320 110528512 138160640 276321280 552642560