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44357940 = 223251143521
BaseRepresentation
bin1010100100110…
…1100100110100
310002110121122200
42221031210310
542323423230
64222424500
71046015304
oct251154464
9102417580
1044357940
1123047860
1212a32130
139261303
145c69604
153d63160
hex2a4d934

44357940 has 144 divisors (see below), whose sum is σ = 150486336. Its totient is φ = 10483200.

The previous prime is 44357923. The next prime is 44357959. The reversal of 44357940 is 4975344.

44357940 is a `hidden beast` number, since 4 + 43 + 579 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 44357895 and 44357904.

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, 84880 + ... + 85400.

It is an arithmetic number, because the mean of its divisors is an integer number (1045044).

Almost surely, 244357940 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 44357940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75243168).

44357940 is an abundant number, since it is smaller than the sum of its proper divisors (106128396).

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

44357940 is a wasteful number, since it uses less digits than its factorization.

44357940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 44357940 is about 6660.1756733588. The cubic root of 44357940 is about 353.9895620785.

The spelling of 44357940 in words is "forty-four million, three hundred fifty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 43 44 45 55 60 66 86 90 99 110 129 132 165 172 180 198 215 220 258 330 387 396 430 473 495 516 521 645 660 774 860 946 990 1042 1290 1419 1548 1563 1892 1935 1980 2084 2365 2580 2605 2838 3126 3870 4257 4689 4730 5210 5676 5731 6252 7095 7740 7815 8514 9378 9460 10420 11462 14190 15630 17028 17193 18756 21285 22403 22924 23445 28380 28655 31260 34386 42570 44806 46890 51579 57310 67209 68772 85140 85965 89612 93780 103158 112015 114620 134418 171930 201627 206316 224030 246433 257895 268836 336045 343860 403254 448060 492866 515790 672090 739299 806508 985732 1008135 1031580 1232165 1344180 1478598 2016270 2217897 2464330 2957196 3696495 4032540 4435794 4928660 7392990 8871588 11089485 14785980 22178970 44357940