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56161440 = 2532543907
BaseRepresentation
bin1101011000111…
…1010010100000
310220200022000100
43112033102200
5103334131230
65323422400
71251235656
oct326172240
9126608010
1056161440
1129779a15
1216984a00
13b834a2a
14765cdd6
154de5660
hex358f4a0

56161440 has 144 divisors (see below), whose sum is σ = 196324128. Its totient is φ = 14611968.

The previous prime is 56161433. The next prime is 56161447. The reversal of 56161440 is 4416165.

56161440 is a `hidden beast` number, since 5 + 6 + 1 + 614 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (56161433) and next prime (56161447).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (56161447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61467 + ... + 62373.

It is an arithmetic number, because the mean of its divisors is an integer number (1363362).

Almost surely, 256161440 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 56161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98162064).

56161440 is an abundant number, since it is smaller than the sum of its proper divisors (140162688).

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

56161440 is a wasteful number, since it uses less digits than its factorization.

56161440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56161440 is about 7494.0936743545. The cubic root of 56161440 is about 382.9535309827.

It can be divided in two parts, 5616 and 1440, that added together give a square (7056 = 842).

The spelling of 56161440 in words is "fifty-six million, one hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 43 45 48 60 72 80 86 90 96 120 129 144 160 172 180 215 240 258 288 344 360 387 430 480 516 645 688 720 774 860 907 1032 1290 1376 1440 1548 1720 1814 1935 2064 2580 2721 3096 3440 3628 3870 4128 4535 5160 5442 6192 6880 7256 7740 8163 9070 10320 10884 12384 13605 14512 15480 16326 18140 20640 21768 27210 29024 30960 32652 36280 39001 40815 43536 54420 61920 65304 72560 78002 81630 87072 108840 117003 130608 145120 156004 163260 195005 217680 234006 261216 312008 326520 351009 390010 435360 468012 585015 624016 653040 702018 780020 936024 1170030 1248032 1306080 1404036 1560040 1755045 1872048 2340060 2808072 3120080 3510090 3744096 4680120 5616144 6240160 7020180 9360240 11232288 14040360 18720480 28080720 56161440