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484949484 = 223329672311
BaseRepresentation
bin11100111001111…
…011110111101100
31020210111222122000
4130321323313230
51443121340414
6120042052300
715006000615
oct3471736754
91223458560
10484949484
112298177a8
121164aa090
1379615776
1448598c0c
152c893b09
hex1ce7bdec

484949484 has 96 divisors (see below), whose sum is σ = 1320614400. Its totient is φ = 153679680.

The previous prime is 484949473. The next prime is 484949489.

484949484 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 484949484.

It is not an unprimeable number, because it can be changed into a prime (484949489) 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, 208689 + ... + 210999.

It is an arithmetic number, because the mean of its divisors is an integer number (13756400).

Almost surely, 2484949484 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 484949484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660307200).

484949484 is an abundant number, since it is smaller than the sum of its proper divisors (835664916).

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

484949484 is a wasteful number, since it uses less digits than its factorization.

484949484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2412 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 484949484 is about 22021.5686089797. The cubic root of 484949484 is about 785.6555217948.

The spelling of 484949484 in words is "four hundred eighty-four million, nine hundred forty-nine thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 67 87 108 116 134 174 201 261 268 348 402 522 603 783 804 1044 1206 1566 1809 1943 2311 2412 3132 3618 3886 4622 5829 6933 7236 7772 9244 11658 13866 17487 20799 23316 27732 34974 41598 52461 62397 67019 69948 83196 104922 124794 134038 154837 201057 209844 249588 268076 309674 402114 464511 603171 619348 804228 929022 1206342 1393533 1809513 1858044 2412684 2787066 3619026 4180599 4490273 5574132 7238052 8361198 8980546 13470819 16722396 17961092 26941638 40412457 53883276 80824914 121237371 161649828 242474742 484949484