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482283072 = 263610337
BaseRepresentation
bin11100101111110…
…000111001000000
31020121111112000000
4130233300321000
51441431024242
6115505000000
714644224045
oct3457607100
91217445000
10482283072
11228266457
12115623000
1378bc0bcb
14480a31cc
152c518a4c
hex1cbf0e40

482283072 has 98 divisors (see below), whose sum is σ = 1435028118. Its totient is φ = 160745472.

The previous prime is 482283017. The next prime is 482283083. The reversal of 482283072 is 270382284.

It can be written as a sum of positive squares in only one way, i.e., 291180096 + 191102976 = 17064^2 + 13824^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 41488 + ... + 51824.

Almost surely, 2482283072 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 482283072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717514059).

482283072 is an abundant number, since it is smaller than the sum of its proper divisors (952745046).

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

482283072 is an equidigital number, since it uses as much as digits as its factorization.

482283072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10367 (or 10342 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 482283072 is about 21960.9442419947. The cubic root of 482283072 is about 784.2129436839.

The spelling of 482283072 in words is "four hundred eighty-two million, two hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 10337 11664 15552 20674 23328 31011 41348 46656 62022 82696 93033 124044 165392 186066 248088 279099 330784 372132 496176 558198 661568 744264 837297 992352 1116396 1488528 1674594 1984704 2232792 2511891 2977056 3349188 4465584 5023782 5954112 6698376 7535673 8931168 10047564 13396752 15071346 17862336 20095128 26793504 30142692 40190256 53587008 60285384 80380512 120570768 160761024 241141536 482283072