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484242484 = 2211217229257
BaseRepresentation
bin11100110111001…
…111010000110100
31020202012001210211
4130313033100310
51442431224414
6120014555204
714666664445
oct3467172064
91222161724
10484242484
11229384600
12116208b04
1379428a1b
14484532cc
152c7a43c4
hex1cdcf434

484242484 has 72 divisors (see below), whose sum is σ = 994419720. Its totient is φ = 205455360.

The previous prime is 484242469. The next prime is 484242487.

484242484 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 396408100 + 87834384 = 19910^2 + 9372^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484242487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1884084 + ... + 1884340.

It is an arithmetic number, because the mean of its divisors is an integer number (13811385).

Almost surely, 2484242484 is an apocalyptic number.

484242484 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

484242484 is an abundant number, since it is smaller than the sum of its proper divisors (510177236).

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

484242484 is a wasteful number, since it uses less digits than its factorization.

484242484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 516 counting only the distinct ones).

The product of its digits is 262144, while the sum is 40.

The square root of 484242484 is about 22005.5103099201. The cubic root of 484242484 is about 785.2735379509.

The spelling of 484242484 in words is "four hundred eighty-four million, two hundred forty-two thousand, four hundred eighty-four".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 229 242 257 374 458 484 514 748 916 1028 2057 2519 2827 3893 4114 4369 5038 5654 7786 8228 8738 10076 11308 15572 17476 27709 31097 42823 48059 55418 58853 62194 85646 96118 110836 117706 124388 171292 192236 235412 471053 528649 647383 942106 1000501 1057298 1294766 1884212 2001002 2114596 2589532 4002004 7121213 11005511 14242426 22011022 28484852 44022044 121060621 242121242 484242484