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482290307328 = 2839725125793
BaseRepresentation
bin1110000010010101011…
…11100001000100000000
31201002212122022010000010
413001022233201010000
530400212304313303
61005321111024520
746562413654314
oct7011257410400
91632778263003
10482290307328
111765a133a255
127957a06b140
133663110359b
14194b31a5b44
15c82aec1c03
hex704abe1100

482290307328 has 144 divisors (see below), whose sum is σ = 1302045627456. Its totient is φ = 158466048000.

The previous prime is 482290307249. The next prime is 482290307329. The reversal of 482290307328 is 823703092284.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (482290307329) 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, 18685600 + ... + 18711392.

It is an arithmetic number, because the mean of its divisors is an integer number (9041983524).

Almost surely, 2482290307328 is an apocalyptic number.

482290307328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482290307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651022813728).

482290307328 is an abundant number, since it is smaller than the sum of its proper divisors (819755320128).

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

482290307328 is a wasteful number, since it uses less digits than its factorization.

482290307328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26160 (or 26146 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 482290307328 in words is "four hundred eighty-two billion, two hundred ninety million, three hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 251 256 291 384 388 502 582 753 768 776 1004 1164 1506 1552 2008 2328 3012 3104 4016 4656 6024 6208 8032 9312 12048 12416 16064 18624 24096 24347 24832 25793 32128 37248 48192 48694 51586 64256 73041 74496 77379 96384 97388 103172 146082 154758 192768 194776 206344 292164 309516 389552 412688 584328 619032 779104 825376 1168656 1238064 1558208 1650752 2337312 2476128 2501921 3116416 3301504 4674624 4952256 5003842 6232832 6474043 6603008 7505763 9349248 9904512 10007684 12948086 15011526 18698496 19422129 19809024 20015368 25896172 30023052 38844258 40030736 51792344 60046104 77688516 80061472 103584688 120092208 155377032 160122944 207169376 240184416 310754064 320245888 414338752 480368832 621508128 627982171 640491776 828677504 960737664 1243016256 1255964342 1657355008 1883946513 1921475328 2486032512 2511928684 3767893026 4972065024 5023857368 7535786052 10047714736 15071572104 20095429472 30143144208 40190858944 60286288416 80381717888 120572576832 160763435776 241145153664 482290307328