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482495616 = 2734173269
BaseRepresentation
bin11100110000100…
…100110010000000
31020121220022120000
4130300210302000
51442004324431
6115513320000
714646100521
oct3460446200
91217808500
10482495616
112283a1109
12115706000
1378c66885
144811a848
152c55b9e6
hex1cc24c80

482495616 has 160 divisors (see below), whose sum is σ = 1449567900. Its totient is φ = 159307776.

The previous prime is 482495603. The next prime is 482495621. The reversal of 482495616 is 616594284.

482495616 is a `hidden beast` number, since 4 + 8 + 24 + 9 + 5 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 482241600 + 254016 = 21960^2 + 504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1793530 + ... + 1793798.

Almost surely, 2482495616 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 482495616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724783950).

482495616 is an abundant number, since it is smaller than the sum of its proper divisors (967072284).

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

482495616 is a wasteful number, since it uses less digits than its factorization.

482495616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 447 counting only the distinct ones).

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

The square root of 482495616 is about 21965.7828451435. The cubic root of 482495616 is about 784.3281286490.

The spelling of 482495616 in words is "four hundred eighty-two million, four hundred ninety-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 173 192 216 269 288 324 346 384 432 519 538 576 648 692 807 864 1038 1076 1152 1296 1384 1557 1614 1728 2076 2152 2421 2592 2768 3114 3228 3456 4152 4304 4671 4842 5184 5536 6228 6456 7263 8304 8608 9342 9684 10368 11072 12456 12912 14013 14526 16608 17216 18684 19368 21789 22144 24912 25824 28026 29052 33216 34432 37368 38736 43578 46537 49824 51648 56052 58104 66432 74736 77472 87156 93074 99648 103296 112104 116208 139611 149472 154944 174312 186148 199296 224208 232416 279222 298944 309888 348624 372296 418833 448416 464832 558444 597888 697248 744592 837666 896832 929664 1116888 1256499 1394496 1489184 1675332 1793664 2233776 2512998 2788992 2978368 3350664 3769497 4467552 5025996 5956736 6701328 7538994 8935104 10051992 13402656 15077988 17870208 20103984 26805312 30155976 40207968 53610624 60311952 80415936 120623904 160831872 241247808 482495616