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842048487424 = 2146721072
BaseRepresentation
bin11000100000011100000…
…00000100000000000000
32222111110210210012221201
430100032000010000000
5102244003403044144
61442455353230544
7114556514022244
oct14201600040000
92874423705851
10842048487424
112a5124467751
12117240402454
1361535552071
142ca80a10424
1516d84a681d4
hexc40e004000

842048487424 has 135 divisors (see below), whose sum is σ = 1725682213983. Its totient is φ = 410864222208.

The previous prime is 842048487353. The next prime is 842048487481. The reversal of 842048487424 is 424784840248.

It is a happy number.

The square root of 842048487424 is 917632.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7869611979 + ... + 7869612085.

Almost surely, 2842048487424 is an apocalyptic number.

842048487424 is the 917632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842048487424

842048487424 is an abundant number, since it is smaller than the sum of its proper divisors (883633726559).

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

842048487424 is an frugal number, since it uses more digits than its factorization.

842048487424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 14680064, while the sum is 55.

The spelling of 842048487424 in words is "eight hundred forty-two billion, forty-eight million, four hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 67 107 128 134 214 256 268 428 512 536 856 1024 1072 1712 2048 2144 3424 4096 4288 4489 6848 7169 8192 8576 8978 11449 13696 14338 16384 17152 17956 22898 27392 28676 34304 35912 45796 54784 57352 68608 71824 91592 109568 114704 137216 143648 183184 219136 229408 274432 287296 366368 438272 458816 480323 548864 574592 732736 767083 876544 917632 960646 1097728 1149184 1465472 1534166 1753088 1835264 1921292 2298368 2930944 3068332 3670528 3842584 4596736 5861888 6136664 7341056 7685168 9193472 11723776 12273328 14682112 15370336 18386944 23447552 24546656 29364224 30740672 36773888 46895104 49093312 51394561 58728448 61481344 73547776 93790208 98186624 102789122 117456896 122962688 187580416 196373248 205578244 245925376 392746496 411156488 491850752 785492992 822312976 983701504 1570985984 1644625952 1967403008 3141971968 3289251904 3934806016 6283943936 6578503808 7869612032 12567887872 13157007616 26314015232 52628030464 105256060928 210512121856 421024243712 842048487424