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484230024 = 233273181509
BaseRepresentation
bin11100110111001…
…100001110001000
31020202011102201100
4130313030032020
51442430330044
6120014421400
714666613225
oct3467141610
91222142640
10484230024
11229376203
12116201860
1379423155
144844c94c
152c7a0869
hex1cdcc388

484230024 has 96 divisors (see below), whose sum is σ = 1339392600. Its totient is φ = 158008320.

The previous prime is 484230007. The next prime is 484230037. The reversal of 484230024 is 420032484.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 360620100 + 123609924 = 18990^2 + 11118^2 .

It is a super-2 number, since 2×4842300242 = 468957432286081152, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 484230024.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 951082 + ... + 951590.

Almost surely, 2484230024 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 484230024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669696300).

484230024 is an abundant number, since it is smaller than the sum of its proper divisors (855162576).

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

484230024 is a wasteful number, since it uses less digits than its factorization.

484230024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 484230024 is about 22005.2271971911. The cubic root of 484230024 is about 785.2668026254.

The spelling of 484230024 in words is "four hundred eighty-four million, two hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 181 219 292 362 438 509 543 584 657 724 876 1018 1086 1314 1448 1527 1629 1752 2036 2172 2628 3054 3258 4072 4344 4581 5256 6108 6516 9162 12216 13032 13213 18324 26426 36648 37157 39639 52852 74314 79278 92129 105704 111471 118917 148628 158556 184258 222942 237834 276387 297256 317112 334413 368516 445884 475668 552774 668826 737032 829161 891768 951336 1105548 1337652 1658322 2211096 2675304 3316644 6633288 6725417 13450834 20176251 26901668 40352502 53803336 60528753 80705004 121057506 161410008 242115012 484230024