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482342976 = 263289972
BaseRepresentation
bin11100101111111…
…111100001000000
31020121121120011200
4130233333201000
51441434433401
6115510141200
714644563513
oct3457774100
91217546150
10482342976
112282a7465
12115651800
1378c1225b
14480bad7a
152c52b686
hex1cbff840

482342976 has 126 divisors (see below), whose sum is σ = 1412645130. Its totient is φ = 157335552.

The previous prime is 482342951. The next prime is 482343013. The reversal of 482342976 is 679243284.

It can be written as a sum of positive squares in 3 ways, for example, as 14745600 + 467597376 = 3840^2 + 21624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4972560 + ... + 4972656.

Almost surely, 2482342976 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 482342976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706322565).

482342976 is an abundant number, since it is smaller than the sum of its proper divisors (930302154).

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

482342976 is an equidigital number, since it uses as much as digits as its factorization.

482342976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 191 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 482342976 is about 21962.3080754278. The cubic root of 482342976 is about 784.2454111634.

The spelling of 482342976 in words is "four hundred eighty-two million, three hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 97 144 178 192 194 267 288 291 356 388 534 576 582 712 776 801 873 1068 1164 1424 1552 1602 1746 2136 2328 2848 3104 3204 3492 4272 4656 5696 6208 6408 6984 8544 8633 9312 9409 12816 13968 17088 17266 18624 18818 25632 25899 27936 28227 34532 37636 51264 51798 55872 56454 69064 75272 77697 84681 103596 112908 138128 150544 155394 169362 207192 225816 276256 301088 310788 338724 414384 451632 552512 602176 621576 677448 828768 837401 903264 1243152 1354896 1657536 1674802 1806528 2486304 2512203 2709792 3349604 4972608 5024406 5419584 6699208 7536609 10048812 13398416 15073218 20097624 26796832 30146436 40195248 53593664 60292872 80390496 120585744 160780992 241171488 482342976