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44664444 = 22321143261
BaseRepresentation
bin1010101001100…
…0011001111100
310010001012002200
42222120121330
542413230234
64233151500
71051433016
oct252303174
9103035080
1044664444
1123237070
1212b5b590
13933a986
145d091b6
153dc3d99
hex2a9867c

44664444 has 108 divisors (see below), whose sum is σ = 128163672. Its totient is φ = 13003200.

The previous prime is 44664409. The next prime is 44664463. The reversal of 44664444 is 44446644.

44664444 is a `hidden beast` number, since 4 + 4 + 6 + 644 + 4 + 4 = 666.

44664444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44664399 and 44664408.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 732174 + ... + 732234.

Almost surely, 244664444 is an apocalyptic number.

44664444 is a gapful number since it is divisible by the number (44) 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 44664444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64081836).

44664444 is an abundant number, since it is smaller than the sum of its proper divisors (83499228).

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

44664444 is a wasteful number, since it uses less digits than its factorization.

44664444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 120 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 44664444 is about 6683.1462650461. The cubic root of 44664444 is about 354.8030223777.

The spelling of 44664444 in words is "forty-four million, six hundred sixty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 61 66 86 99 122 129 132 172 183 198 244 258 366 387 396 473 516 549 671 732 774 946 1098 1342 1419 1548 1849 1892 2013 2196 2623 2684 2838 3698 4026 4257 5246 5547 5676 6039 7396 7869 8052 8514 10492 11094 12078 15738 16641 17028 20339 22188 23607 24156 28853 31476 33282 40678 47214 57706 61017 66564 81356 86559 94428 112789 115412 122034 173118 183051 225578 244068 259677 338367 346236 366102 451156 519354 676734 732204 1015101 1038708 1240679 1353468 2030202 2481358 3722037 4060404 4962716 7444074 11166111 14888148 22332222 44664444