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896224560 = 243571148497
BaseRepresentation
bin110101011010110…
…100110100110000
32022110101220222020
4311122310310300
53313413141220
6224533111440
731131532410
oct6532646460
92273356866
10896224560
1141a993860
12210188580
131138a40ba
1487056640
1553a33040
hex356b4d30

896224560 has 160 divisors (see below), whose sum is σ = 3463921152. Its totient is φ = 186224640.

The previous prime is 896224543. The next prime is 896224603. The reversal of 896224560 is 65422698.

896224560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5769 + ... + 42728.

Almost surely, 2896224560 is an apocalyptic number.

896224560 is a gapful number since it is divisible by the number (80) 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 896224560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731960576).

896224560 is an abundant number, since it is smaller than the sum of its proper divisors (2567696592).

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

896224560 is a wasteful number, since it uses less digits than its factorization.

896224560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48531 (or 48525 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 896224560 is about 29937.0098707269. The cubic root of 896224560 is about 964.1374378633.

It can be divided in two parts, 896 and 224560, that added together give a triangular number (225456 = T671).

The spelling of 896224560 in words is "eight hundred ninety-six million, two hundred twenty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 48497 96994 145491 193988 242485 290982 339479 387976 484970 533467 581964 678958 727455 775952 969940 1018437 1066934 1163928 1357916 1454910 1600401 1697395 1939880 2036874 2133868 2327856 2667335 2715832 2909820 3200802 3394790 3734269 3879760 4073748 4267736 5092185 5334670 5431664 5819640 6401604 6789580 7468538 8002005 8147496 8535472 10184370 10669340 11202807 11639280 12803208 13579160 14937076 16004010 16294992 18671345 20368740 21338680 22405614 25606416 27158320 29874152 32008020 37342690 40737480 42677360 44811228 56014035 59748304 64016040 74685380 81474960 89622456 112028070 128032080 149370760 179244912 224056140 298741520 448112280 896224560