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52738203904 = 283124632
BaseRepresentation
bin110001000111011100…
…010010000100000000
312001010102020100020021
4301013130102010000
51331001440011104
640121054423224
73544621223341
oct610734220400
9161112210207
1052738203904
1120403383191
12a279b01b14
134c86141619
1427a426a0c8
151589e74754
hexc47712100

52738203904 has 81 divisors (see below), whose sum is σ = 109011205359. Its totient is φ = 25463370240.

The previous prime is 52738203887. The next prime is 52738203907. The reversal of 52738203904 is 40930283725.

The square root of 52738203904 is 229648.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52738203907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 113905177 + ... + 113905639.

Almost surely, 252738203904 is an apocalyptic number.

52738203904 is the 229648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52738203904

52738203904 is an abundant number, since it is smaller than the sum of its proper divisors (56273001455).

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

52738203904 is an frugal number, since it uses more digits than its factorization.

52738203904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 52738203904 in words is "fifty-two billion, seven hundred thirty-eight million, two hundred three thousand, nine hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 463 496 926 961 992 1852 1922 1984 3704 3844 3968 7408 7688 7936 14353 14816 15376 28706 29632 30752 57412 59264 61504 114824 118528 123008 214369 229648 246016 428738 444943 459296 857476 889886 918592 1714952 1779772 1837184 3429904 3559544 3674368 6645439 6859808 7119088 13290878 13719616 14238176 26581756 27439232 28476352 53163512 54878464 56952704 106327024 113905408 206008609 212654048 412017218 425308096 824034436 850616192 1648068872 1701232384 3296137744 6592275488 13184550976 26369101952 52738203904