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1484378112 = 2123717257
BaseRepresentation
bin101100001111001…
…1101000000000000
310211110010012222010
41120132131000000
511020000044422
6403143212520
751533001660
oct13036350000
93743105863
101484378112
116a1990278
12355147140
131a86b2859
141011d81a0
158a4b0b0c
hex5879d000

1484378112 has 104 divisors (see below), whose sum is σ = 4523528896. Its totient is φ = 424083456.

The previous prime is 1484378101. The next prime is 1484378143. The reversal of 1484378112 is 2118734841.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77388 + ... + 94644.

Almost surely, 21484378112 is an apocalyptic number.

1484378112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1484378112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261764448).

1484378112 is an abundant number, since it is smaller than the sum of its proper divisors (3039150784).

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

1484378112 is an equidigital number, since it uses as much as digits as its factorization.

1484378112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17291 (or 17269 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 1484378112 is about 38527.6279051799. The cubic root of 1484378112 is about 1140.7264560253.

The spelling of 1484378112 in words is "one billion, four hundred eighty-four million, three hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 10752 12288 14336 17257 21504 28672 34514 43008 51771 69028 86016 103542 120799 138056 207084 241598 276112 362397 414168 483196 552224 724794 828336 966392 1104448 1449588 1656672 1932784 2208896 2899176 3313344 3865568 4417792 5798352 6626688 7731136 8835584 11596704 13253376 15462272 17671168 23193408 26506752 30924544 35342336 46386816 53013504 61849088 70684672 92773632 106027008 123698176 185547264 212054016 247396352 371094528 494792704 742189056 1484378112