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842484560 = 245139239317
BaseRepresentation
bin110010001101110…
…100101101010000
32011201021122112212
4302031310231100
53211134001220
6215333211252
726610000131
oct6215645520
92151248485
10842484560
113a2619135
121b6190b28
13105709598
147dc67c88
154de6a0c5
hex32374b50

842484560 has 80 divisors (see below), whose sum is σ = 1987372800. Its totient is φ = 332118528.

The previous prime is 842484497. The next prime is 842484563. The reversal of 842484560 is 65484248.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842484563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2657522 + ... + 2657838.

It is an arithmetic number, because the mean of its divisors is an integer number (24842160).

Almost surely, 2842484560 is an apocalyptic number.

842484560 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 842484560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993686400).

842484560 is an abundant number, since it is smaller than the sum of its proper divisors (1144888240).

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

842484560 is a wasteful number, since it uses less digits than its factorization.

842484560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 41.

The square root of 842484560 is about 29025.5845763699. The cubic root of 842484560 is about 944.4681497267.

The spelling of 842484560 in words is "eight hundred forty-two million, four hundred eighty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 239 278 317 478 556 634 695 956 1112 1195 1268 1390 1585 1912 2224 2390 2536 2780 3170 3824 4780 5072 5560 6340 9560 11120 12680 19120 25360 33221 44063 66442 75763 88126 132884 151526 166105 176252 220315 265768 303052 332210 352504 378815 440630 531536 606104 664420 705008 757630 881260 1212208 1328840 1515260 1762520 2657680 3030520 3525040 6061040 10531057 21062114 42124228 52655285 84248456 105310570 168496912 210621140 421242280 842484560