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4544304640 = 2952961211
BaseRepresentation
bin1000011101101110…
…01001011000000000
3102201200220121001021
410032313021120000
533301320222030
62030532115224
7220416644401
oct41667113000
912650817037
104544304640
111a22161377
12a69a65b14
13575619775
1431175d9a8
151b8e4097a
hex10edc9600

4544304640 has 80 divisors (see below), whose sum is σ = 11271577680. Its totient is φ = 1755013120.

The previous prime is 4544304631. The next prime is 4544304643. The reversal of 4544304640 is 464034454.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×45443046402 = 41301409322251059200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4544304596 and 4544304605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4544304643) 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 7 ways as a sum of consecutive naturals, for example, 43635 + ... + 104845.

It is an arithmetic number, because the mean of its divisors is an integer number (140894721).

Almost surely, 24544304640 is an apocalyptic number.

4544304640 is a gapful number since it is divisible by the number (40) 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 4544304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5635788840).

4544304640 is an abundant number, since it is smaller than the sum of its proper divisors (6727273040).

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

4544304640 is an equidigital number, since it uses as much as digits as its factorization.

4544304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61263 (or 61247 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

The square root of 4544304640 is about 67411.4577798166. The cubic root of 4544304640 is about 1656.3641135758.

The spelling of 4544304640 in words is "four billion, five hundred forty-four million, three hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 928 1160 1280 1856 2320 2560 3712 4640 7424 9280 14848 18560 37120 61211 74240 122422 244844 306055 489688 612110 979376 1224220 1775119 1958752 2448440 3550238 3917504 4896880 7100476 7835008 8875595 9793760 14200952 15670016 17751190 19587520 28401904 31340032 35502380 39175040 56803808 71004760 78350080 113607616 142009520 156700160 227215232 284019040 454430464 568038080 908860928 1136076160 2272152320 4544304640