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444012534 = 232741611409
BaseRepresentation
bin11010011101110…
…001011111110110
31010221111011200200
4122131301133312
51402131400114
6112020421330
714001021120
oct3235613766
91127434620
10444012534
112086a7209
12104847846
1370cb1614
1442d80210
1528ea9409
hex1a7717f6

444012534 has 96 divisors (see below), whose sum is σ = 1145551680. Its totient is φ = 121651200.

The previous prime is 444012529. The next prime is 444012559. The reversal of 444012534 is 435210444.

It is a happy number.

444012534 is a `hidden beast` number, since 4 + 4 + 401 + 253 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 444012498 and 444012507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314422 + ... + 315830.

It is an arithmetic number, because the mean of its divisors is an integer number (11932830).

Almost surely, 2444012534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444012534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572775840).

444012534 is an abundant number, since it is smaller than the sum of its proper divisors (701539146).

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

444012534 is a wasteful number, since it uses less digits than its factorization.

444012534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 444012534 is about 21071.6049222645. The cubic root of 444012534 is about 762.8955412285.

Adding to 444012534 its reverse (435210444), we get a palindrome (879222978).

The spelling of 444012534 in words is "four hundred forty-four million, twelve thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 61 63 82 122 123 126 183 246 287 366 369 427 549 574 738 854 861 1098 1281 1409 1722 2501 2562 2583 2818 3843 4227 5002 5166 7503 7686 8454 9863 12681 15006 17507 19726 22509 25362 29589 35014 45018 52521 57769 59178 85949 88767 105042 115538 157563 171898 173307 177534 257847 315126 346614 404383 515694 519921 601643 773541 808766 1039842 1203286 1213149 1547082 1804929 2426298 3523909 3609858 3639447 5414787 7047818 7278894 10571727 10829574 21143454 24667363 31715181 49334726 63430362 74002089 148004178 222006267 444012534