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44287290 = 2335198997
BaseRepresentation
bin1010100011110…
…0010100111010
310002100000202000
42220330110322
542314143130
64221121430
71045302315
oct250742472
9102300660
1044287290
1122aa9773
12129b9276
1392380c8
145c4b97c
153d4c260
hex2a3c53a

44287290 has 128 divisors (see below), whose sum is σ = 127008000. Its totient is φ = 10948608.

The previous prime is 44287279. The next prime is 44287297. The reversal of 44287290 is 9278244.

44287290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×442872902 = 3922728111088200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (44287297) 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 63 ways as a sum of consecutive naturals, for example, 456522 + ... + 456618.

It is an arithmetic number, because the mean of its divisors is an integer number (992250).

Almost surely, 244287290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44287290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504000).

44287290 is an abundant number, since it is smaller than the sum of its proper divisors (82720710).

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

44287290 is a wasteful number, since it uses less digits than its factorization.

44287290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 44287290 is about 6654.8696456054. The cubic root of 44287290 is about 353.8015262049.

The spelling of 44287290 in words is "forty-four million, two hundred eighty-seven thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 89 90 95 97 114 135 171 178 190 194 267 270 285 291 342 445 485 513 534 570 582 801 855 873 890 970 1026 1335 1455 1602 1691 1710 1746 1843 2403 2565 2619 2670 2910 3382 3686 4005 4365 4806 5073 5130 5238 5529 8010 8455 8633 8730 9215 10146 11058 12015 13095 15219 16587 16910 17266 18430 24030 25365 25899 26190 27645 30438 33174 43165 45657 49761 50730 51798 55290 76095 77697 82935 86330 91314 99522 129495 152190 155394 164027 165870 228285 233091 248805 258990 328054 388485 456570 466182 492081 497610 776970 820135 984162 1165455 1476243 1640270 2330910 2460405 2952486 4428729 4920810 7381215 8857458 14762430 22143645 44287290