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55948275 = 32521714627
BaseRepresentation
bin1101010101101…
…1001111110011
310220021110121100
43111123033303
5103310321100
65315055443
71246360335
oct325331763
9126243540
1055948275
1129643849
12168a1583
13b78b9b6
147605455
154da2400
hex355b3f3

55948275 has 36 divisors (see below), whose sum is σ = 106111512. Its totient is φ = 28081920.

The previous prime is 55948271. The next prime is 55948297. The reversal of 55948275 is 57284955.

It is not a de Polignac number, because 55948275 - 22 = 55948271 is a prime.

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 55948275.

It is not an unprimeable number, because it can be changed into a prime (55948271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3489 + ... + 11138.

It is an arithmetic number, because the mean of its divisors is an integer number (2947542).

Almost surely, 255948275 is an apocalyptic number.

55948275 is a deficient number, since it is larger than the sum of its proper divisors (50163237).

55948275 is a wasteful number, since it uses less digits than its factorization.

55948275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14660 (or 14652 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 55948275 is about 7479.8579531967. The cubic root of 55948275 is about 382.4684069767.

It can be divided in two parts, 55 and 948275, that multiplied together give a palindrome (52155125).

The spelling of 55948275 in words is "fifty-five million, nine hundred forty-eight thousand, two hundred seventy-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 1275 3825 14627 43881 73135 131643 219405 248659 365675 658215 745977 1097025 1243295 2237931 3291075 3729885 6216475 11189655 18649425 55948275