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44026164 = 223271389151
BaseRepresentation
bin1010011111110…
…0100100110100
310001211202112200
42213330210310
542232314124
64211344500
71043134110
oct247744464
9101752480
1044026164
1122940566
12128b2130
1391762b0
145bc0740
153ce9bc9
hex29fc934

44026164 has 144 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 11404800.

The previous prime is 44026159. The next prime is 44026181. The reversal of 44026164 is 46162044.

44026164 is a `hidden beast` number, since 4 + 40 + 2 + 616 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291489 + ... + 291639.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 244026164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44026164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69713280).

44026164 is an abundant number, since it is smaller than the sum of its proper divisors (95400396).

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

44026164 is a wasteful number, since it uses less digits than its factorization.

44026164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 44026164 is about 6635.2214733195. The cubic root of 44026164 is about 353.1047954504.

The spelling of 44026164 in words is "forty-four million, twenty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 89 91 117 126 151 156 178 182 234 252 267 273 302 356 364 453 468 534 546 604 623 801 819 906 1057 1068 1092 1157 1246 1359 1602 1638 1812 1869 1963 2114 2314 2492 2718 3171 3204 3276 3471 3738 3926 4228 4628 5436 5607 5889 6342 6942 7476 7852 8099 9513 10413 11214 11778 12684 13439 13741 13884 16198 17667 19026 20826 22428 23556 24297 26878 27482 32396 35334 38052 40317 41223 41652 48594 53756 54964 70668 72891 80634 82446 94073 97188 120951 123669 145782 161268 164892 174707 188146 241902 247338 282219 291564 349414 376292 483804 494676 524121 564438 698828 846657 1048242 1128876 1222949 1572363 1693314 2096484 2445898 3144726 3386628 3668847 4891796 6289452 7337694 11006541 14675388 22013082 44026164