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55614240 = 25325113511
BaseRepresentation
bin1101010000100…
…1101100100000
310212122111101200
43110021230200
5103214123430
65304001200
71243466433
oct324115440
9125574350
1055614240
1129435890
1216760200
13b6a2946
14755981a
154d38460
hex3509b20

55614240 has 144 divisors (see below), whose sum is σ = 207095616. Its totient is φ = 13478400.

The previous prime is 55614239. The next prime is 55614263. The reversal of 55614240 is 4241655.

55614240 is a `hidden beast` number, since 5 + 5 + 614 + 2 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14085 + ... + 17595.

It is an arithmetic number, because the mean of its divisors is an integer number (1438164).

Almost surely, 255614240 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 55614240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103547808).

55614240 is an abundant number, since it is smaller than the sum of its proper divisors (151481376).

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

55614240 is a wasteful number, since it uses less digits than its factorization.

55614240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3543 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 55614240 is about 7457.4955581616. The cubic root of 55614240 is about 381.7057207440.

Adding to 55614240 its reverse (4241655), we get a palindrome (59855895).

It can be divided in two parts, 5561 and 4240, that added together give a square (9801 = 992).

The spelling of 55614240 in words is "fifty-five million, six hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3511 3960 5280 7022 7920 10533 14044 15840 17555 21066 28088 31599 35110 38621 42132 52665 56176 63198 70220 77242 84264 105330 112352 115863 126396 140440 154484 157995 168528 193105 210660 231726 252792 280880 308968 315990 337056 347589 386210 421320 463452 505584 561760 579315 617936 631980 695178 772420 842640 926904 1011168 1158630 1235872 1263960 1390356 1544840 1685280 1737945 1853808 2317260 2527920 2780712 3089680 3475890 3707616 4634520 5055840 5561424 6179360 6951780 9269040 11122848 13903560 18538080 27807120 55614240