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1806053472 = 253223377369
BaseRepresentation
bin110101110100110…
…0011000001100000
311122212102000121100
41223221203001200
512144322202342
6455113554400
762520126006
oct15351430140
94585360540
101806053472
11847519783
12424a15a00
1322a22c4c2
14131c10a76
15a8851e4c
hex6ba63060

1806053472 has 144 divisors (see below), whose sum is σ = 5504859360. Its totient is φ = 560203776.

The previous prime is 1806053437. The next prime is 1806053477. The reversal of 1806053472 is 2743506081.

1806053472 is a `hidden beast` number, since 1 + 8 + 0 + 605 + 3 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1806053477) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 241404 + ... + 248772.

It is an arithmetic number, because the mean of its divisors is an integer number (38228190).

Almost surely, 21806053472 is an apocalyptic number.

1806053472 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 1806053472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752429680).

1806053472 is an abundant number, since it is smaller than the sum of its proper divisors (3698805888).

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

1806053472 is a wasteful number, since it uses less digits than its factorization.

1806053472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7445 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1806053472 is about 42497.6878429874. The cubic root of 1806053472 is about 1217.8025192058.

The spelling of 1806053472 in words is "one billion, eight hundred six million, fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 37 46 48 69 72 74 92 96 111 138 144 148 184 207 222 276 288 296 333 368 414 444 552 592 666 736 828 851 888 1104 1184 1332 1656 1702 1776 2208 2553 2664 3312 3404 3552 5106 5328 6624 6808 7369 7659 10212 10656 13616 14738 15318 20424 22107 27232 29476 30636 40848 44214 58952 61272 66321 81696 88428 117904 122544 132642 169487 176856 235808 245088 265284 272653 338974 353712 508461 530568 545306 677948 707424 817959 1016922 1061136 1090612 1355896 1525383 1635918 2033844 2122272 2181224 2453877 2711792 3050766 3271836 4067688 4362448 4907754 5423584 6101532 6271019 6543672 8135376 8724896 9815508 12203064 12542038 13087344 16270752 18813057 19631016 24406128 25084076 26174688 37626114 39262032 48812256 50168152 56439171 75252228 78524064 100336304 112878342 150504456 200672608 225756684 301008912 451513368 602017824 903026736 1806053472