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532869840 = 243659137
BaseRepresentation
bin11111110000101…
…111001011010000
31101010200121000000
4133300233023100
52042403313330
6124513130000
716130214246
oct3760571320
91333617000
10532869840
11253877aa8
1212a559900
13865233c9
1450ab0796
1531bac560
hex1fc2f2d0

532869840 has 140 divisors (see below), whose sum is σ = 1857737124. Its totient is φ = 142083072.

The previous prime is 532869829. The next prime is 532869863. The reversal of 532869840 is 48968235.

It can be written as a sum of positive squares in 2 ways, for example, as 70963776 + 461906064 = 8424^2 + 21492^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 53752 + ... + 62888.

Almost surely, 2532869840 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 532869840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928868562).

532869840 is an abundant number, since it is smaller than the sum of its proper divisors (1324867284).

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

532869840 is an equidigital number, since it uses as much as digits as its factorization.

532869840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9168 (or 9147 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 532869840 is about 23083.9736613955. The cubic root of 532869840 is about 810.7252763176.

The spelling of 532869840 in words is "five hundred thirty-two million, eight hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2916 3240 3645 3888 4860 5832 6480 7290 9137 9720 11664 14580 18274 19440 27411 29160 36548 45685 54822 58320 73096 82233 91370 109644 137055 146192 164466 182740 219288 246699 274110 328932 365480 411165 438576 493398 548220 657864 730960 740097 822330 986796 1096440 1233495 1315728 1480194 1644660 1973592 2192880 2220291 2466990 2960388 3289320 3700485 3947184 4440582 4933980 5920776 6578640 6660873 7400970 8881164 9867960 11101455 11841552 13321746 14801940 17762328 19735920 22202910 26643492 29603880 33304365 35524656 44405820 53286984 59207760 66608730 88811640 106573968 133217460 177623280 266434920 532869840