Search a number
-
+
55951875 = 32547329
BaseRepresentation
bin1101010101110…
…0001000000011
310220021122112200
43111130020003
5103310430000
65315124243
71246404000
oct325341003
9126248480
1055951875
1129646521
12168a3683
13b790525
1476068a7
154da3500
hex355c203

55951875 has 120 divisors (see below), whose sum is σ = 121836000. Its totient is φ = 24696000.

The previous prime is 55951873. The next prime is 55951891. The reversal of 55951875 is 57815955.

It is not a de Polignac number, because 55951875 - 21 = 55951873 is a prime.

It is a super-2 number, since 2×559518752 = 6261224632031250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 55951875.

It is not an unprimeable number, because it can be changed into a prime (55951871) 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 119 ways as a sum of consecutive naturals, for example, 1929361 + ... + 1929389.

It is an arithmetic number, because the mean of its divisors is an integer number (1015300).

Almost surely, 255951875 is an apocalyptic number.

55951875 is an abundant number, since it is smaller than the sum of its proper divisors (65884125).

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

55951875 is an equidigital number, since it uses as much as digits as its factorization.

55951875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 44 counting only the distinct ones).

The product of its digits is 315000, while the sum is 45.

The square root of 55951875 is about 7480.0985956069. The cubic root of 55951875 is about 382.4766101294.

The spelling of 55951875 in words is "fifty-five million, nine hundred fifty-one thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 29 35 45 49 63 75 87 105 125 145 147 175 203 225 245 261 315 343 375 435 441 525 609 625 725 735 875 1015 1029 1125 1225 1305 1421 1575 1715 1827 1875 2175 2205 2625 3045 3087 3625 3675 4263 4375 5075 5145 5625 6125 6525 7105 7875 8575 9135 9947 10875 11025 12789 13125 15225 15435 18125 18375 21315 25375 25725 29841 30625 32625 35525 39375 42875 45675 49735 54375 55125 63945 76125 77175 89523 91875 106575 126875 128625 149205 163125 177625 214375 228375 248675 275625 319725 380625 385875 447615 532875 643125 746025 888125 1141875 1243375 1598625 1929375 2238075 2664375 3730125 6216875 7993125 11190375 18650625 55951875