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482590272 = 26319263503
BaseRepresentation
bin11100110000111…
…011111001000000
31020122002010101210
4130300323321000
51442020342042
6115515330120
714646643503
oct3460737100
91218063353
10482590272
1122845623a
12115750940
1378c9a998
144814313a
152c579a9c
hex1cc3be40

482590272 has 112 divisors (see below), whose sum is σ = 1351848960. Its totient is φ = 151515648.

The previous prime is 482590261. The next prime is 482590279. The reversal of 482590272 is 272095284.

It is a self number, because there is not a number n which added to its sum of digits gives 482590272.

It is not an unprimeable number, because it can be changed into a prime (482590279) 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, 959173 + ... + 959675.

It is an arithmetic number, because the mean of its divisors is an integer number (12070080).

Almost surely, 2482590272 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 482590272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675924480).

482590272 is an abundant number, since it is smaller than the sum of its proper divisors (869258688).

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

482590272 is a wasteful number, since it uses less digits than its factorization.

482590272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 482590272 is about 21967.9373633484. The cubic root of 482590272 is about 784.3794151315.

The spelling of 482590272 in words is "four hundred eighty-two million, five hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 263 304 456 503 526 608 789 912 1006 1052 1216 1509 1578 1824 2012 2104 3018 3156 3648 4024 4208 4997 6036 6312 8048 8416 9557 9994 12072 12624 14991 16096 16832 19114 19988 24144 25248 28671 29982 32192 38228 39976 48288 50496 57342 59964 76456 79952 96576 114684 119928 132289 152912 159904 229368 239856 264578 305824 319808 396867 458736 479712 529156 611648 793734 917472 959424 1058312 1587468 1834944 2116624 2513491 3174936 4233248 5026982 6349872 7540473 8466496 10053964 12699744 15080946 20107928 25399488 30161892 40215856 60323784 80431712 120647568 160863424 241295136 482590272