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484005012 = 2231929711031
BaseRepresentation
bin11100110110010…
…101010010010100
31020201202000001120
4130312111102110
51442401130022
6120005523540
714664655221
oct3466252224
91221660046
10484005012
11229232147
121161135b0
13793748ca
14483d0948
152c758d5c
hex1cd95494

484005012 has 96 divisors (see below), whose sum is σ = 1248307200. Its totient is φ = 145353600.

The previous prime is 484004987. The next prime is 484005019. The reversal of 484005012 is 210500484.

It is a super-2 number, since 2×4840050122 = 468521703282240288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484005019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468937 + ... + 469967.

It is an arithmetic number, because the mean of its divisors is an integer number (13003200).

Almost surely, 2484005012 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 484005012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624153600).

484005012 is an abundant number, since it is smaller than the sum of its proper divisors (764302188).

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

484005012 is a wasteful number, since it uses less digits than its factorization.

484005012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 484005012 is about 22000.1139087960. The cubic root of 484005012 is about 785.1451511919.

Adding to 484005012 its reverse (210500484), we get a palindrome (694505496).

The spelling of 484005012 in words is "four hundred eighty-four million, five thousand, twelve".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 71 76 87 114 116 142 174 213 228 284 348 426 551 852 1031 1102 1349 1653 2059 2062 2204 2698 3093 3306 4047 4118 4124 5396 6177 6186 6612 8094 8236 12354 12372 16188 19589 24708 29899 39121 39178 58767 59798 73201 78242 78356 89697 117363 117534 119596 146402 156484 179394 219603 234726 235068 292804 358788 439206 469452 568081 878412 1136162 1390819 1704243 2122829 2272324 2781638 3408486 4172457 4245658 5563276 6368487 6816972 8344914 8491316 12736974 16689828 25473948 40333751 80667502 121001253 161335004 242002506 484005012