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55481040 = 24325251307
BaseRepresentation
bin1101001110100…
…1001011010000
310212101201200100
43103221023100
5103200343130
65301052400
71242403206
oct323511320
9125351610
1055481040
11293547aa
12166b7100
13b657124
147523076
154d0dc60
hex34e92d0

55481040 has 120 divisors (see below), whose sum is σ = 187675488. Its totient is φ = 14688000.

The previous prime is 55481039. The next prime is 55481057. The reversal of 55481040 is 4018455.

55481040 is a `hidden beast` number, since 554 + 8 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 55480995 and 55481013.

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, 180567 + ... + 180873.

Almost surely, 255481040 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 55481040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93837744).

55481040 is an abundant number, since it is smaller than the sum of its proper divisors (132194448).

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

55481040 is a wasteful number, since it uses less digits than its factorization.

55481040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 55481040 is about 7448.5595922970. The cubic root of 55481040 is about 381.4007398188.

Adding to 55481040 its reverse (4018455), we get a palindrome (59499495).

The spelling of 55481040 in words is "fifty-five million, four hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 251 307 360 502 614 720 753 921 1004 1228 1255 1506 1535 1842 2008 2259 2456 2510 2763 3012 3070 3684 3765 4016 4518 4605 4912 5020 5526 6024 6140 7368 7530 9036 9210 10040 11052 11295 12048 12280 13815 14736 15060 18072 18420 20080 22104 22590 24560 27630 30120 36144 36840 44208 45180 55260 60240 73680 77057 90360 110520 154114 180720 221040 231171 308228 385285 462342 616456 693513 770570 924684 1155855 1232912 1387026 1541140 1849368 2311710 2774052 3082280 3467565 3698736 4623420 5548104 6164560 6935130 9246840 11096208 13870260 18493680 27740520 55481040