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55788720 = 24351317881
BaseRepresentation
bin1101010011010…
…0010010110000
310212222100201220
43110310102300
5103240214340
65311425040
71245124221
oct324642260
9125870656
1055788720
1129544989
1216825180
13b7341a0
1475a3248
154d6eed0
hex35344b0

55788720 has 80 divisors (see below), whose sum is σ = 186258912. Its totient is φ = 13731840.

The previous prime is 55788703. The next prime is 55788727. The reversal of 55788720 is 2788755.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×557887202 = 6224762558476800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55788727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5821 + ... + 12060.

Almost surely, 255788720 is an apocalyptic number.

It is an amenable number.

55788720 is an abundant number, since it is smaller than the sum of its proper divisors (130470192).

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

55788720 is a wasteful number, since it uses less digits than its factorization.

55788720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17910 (or 17904 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The square root of 55788720 is about 7469.1846944630. The cubic root of 55788720 is about 382.1044824440.

The spelling of 55788720 in words is "fifty-five million, seven hundred eighty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 17881 35762 53643 71524 89405 107286 143048 178810 214572 232453 268215 286096 357620 429144 464906 536430 697359 715240 858288 929812 1072860 1162265 1394718 1430480 1859624 2145720 2324530 2789436 3486795 3719248 4291440 4649060 5578872 6973590 9298120 11157744 13947180 18596240 27894360 55788720