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55946001 = 3163191599
BaseRepresentation
bin1101010101101…
…0101100010001
310220021100111010
43111122230101
5103310233001
65315041133
71246350606
oct325325421
9126240433
1055946001
1129642071
12168a01a9
13b78a957
1476046ad
154da18d6
hex355ab11

55946001 has 16 divisors (see below), whose sum is σ = 75571200. Its totient is φ = 36812880.

The previous prime is 55945999. The next prime is 55946029. The reversal of 55946001 is 10064955.

55946001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55946001 - 21 = 55945999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 55946001.

It is not an unprimeable number, because it can be changed into a prime (55946071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93100 + ... + 93698.

It is an arithmetic number, because the mean of its divisors is an integer number (4723200).

Almost surely, 255946001 is an apocalyptic number.

It is an amenable number.

55946001 is a deficient number, since it is larger than the sum of its proper divisors (19625199).

55946001 is a wasteful number, since it uses less digits than its factorization.

55946001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 55946001 is about 7479.7059434178. The cubic root of 55946001 is about 382.4632251372.

The spelling of 55946001 in words is "fifty-five million, nine hundred forty-six thousand, one".

Divisors: 1 3 163 191 489 573 599 1797 31133 93399 97637 114409 292911 343227 18648667 55946001