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1484315392 = 28759101139
BaseRepresentation
bin101100001111000…
…1101101100000000
310211110000000221011
41120132031230000
511014441043032
6403142010304
751532321060
oct13036155400
93743000834
101484315392
116a194813a
12355116994
131a8690141
141011bd3a0
158a49c247
hex5878db00

1484315392 has 144 divisors (see below), whose sum is σ = 3502598400. Its totient is φ = 614707200.

The previous prime is 1484315383. The next prime is 1484315423. The reversal of 1484315392 is 2935134841.

It is a happy number.

It is a super-2 number, since 2×14843153922 = 4406384365856227328, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10678459 + ... + 10678597.

It is an arithmetic number, because the mean of its divisors is an integer number (24323600).

Almost surely, 21484315392 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 1484315392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751299200).

1484315392 is an abundant number, since it is smaller than the sum of its proper divisors (2018283008).

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

1484315392 is a wasteful number, since it uses less digits than its factorization.

1484315392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 308 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 1484315392 is about 38526.8139352322. The cubic root of 1484315392 is about 1140.7103892809.

The spelling of 1484315392 in words is "one billion, four hundred eighty-four million, three hundred fifteen thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 101 112 118 128 139 202 224 236 256 278 404 413 448 472 556 707 808 826 896 944 973 1112 1414 1616 1652 1792 1888 1946 2224 2828 3232 3304 3776 3892 4448 5656 5959 6464 6608 7552 7784 8201 8896 11312 11918 12928 13216 14039 15104 15568 16402 17792 22624 23836 25856 26432 28078 31136 32804 35584 41713 45248 47672 52864 56156 57407 62272 65608 83426 90496 95344 98273 105728 112312 114814 124544 131216 166852 180992 190688 196546 224624 229628 249088 262432 333704 381376 393092 449248 459256 524864 667408 762752 786184 828301 898496 918512 1049728 1334816 1525504 1572368 1656602 1796992 1837024 2099456 2669632 3144736 3313204 3593984 3674048 5339264 5798107 6289472 6626408 7348096 10678528 11596214 12578944 13252816 14696192 23192428 25157888 26505632 46384856 53011264 92769712 106022528 185539424 212045056 371078848 742157696 1484315392