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44286960 = 24352371113
BaseRepresentation
bin1010100011110…
…0001111110000
310002100000021210
42220330033300
542314140320
64221120120
71045301334
oct250741760
9102300253
1044286960
1122aa94a3
12129b9040
139237c03
145c4b7c4
153d4c0e0
hex2a3c3f0

44286960 has 160 divisors (see below), whose sum is σ = 146562048. Its totient is φ = 11038720.

The previous prime is 44286943. The next prime is 44286961. The reversal of 44286960 is 6968244.

44286960 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 2×442869602 = 3922669652083200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44286961) 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 31 ways as a sum of consecutive naturals, for example, 391864 + ... + 391976.

Almost surely, 244286960 is an apocalyptic number.

44286960 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 44286960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73281024).

44286960 is an abundant number, since it is smaller than the sum of its proper divisors (102275088).

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

44286960 is a wasteful number, since it uses less digits than its factorization.

44286960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 44286960 is about 6654.8448516851. The cubic root of 44286960 is about 353.8006474366.

The spelling of 44286960 in words is "forty-four million, two hundred eighty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 71 80 92 113 115 120 138 142 184 213 226 230 240 276 284 339 345 355 368 426 452 460 552 565 568 678 690 710 852 904 920 1065 1104 1130 1136 1356 1380 1420 1633 1695 1704 1808 1840 2130 2260 2599 2712 2760 2840 3266 3390 3408 4260 4520 4899 5198 5424 5520 5680 6532 6780 7797 8023 8165 8520 9040 9798 10396 12995 13064 13560 15594 16046 16330 17040 19596 20792 24069 24495 25990 26128 27120 31188 32092 32660 38985 39192 40115 41584 48138 48990 51980 62376 64184 65320 77970 78384 80230 96276 97980 103960 120345 124752 128368 130640 155940 160460 184529 192552 195960 207920 240690 311880 320920 369058 385104 391920 481380 553587 623760 641840 738116 922645 962760 1107174 1476232 1845290 1925520 2214348 2767935 2952464 3690580 4428696 5535870 7381160 8857392 11071740 14762320 22143480 44286960