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54892201 = 72131737137
BaseRepresentation
bin1101000101100…
…1011010101001
310211021210221111
43101121122221
5103023022301
65240310321
71234401400
oct321313251
9124253844
1054892201
1128a92361
12164723a1
13b4ac0c0
14740c637
154c44551
hex34596a9

54892201 has 48 divisors (see below), whose sum is σ = 75324816. Its totient is φ = 39481344.

The previous prime is 54892199. The next prime is 54892207. The reversal of 54892201 is 10229845.

54892201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2706025 + 52186176 = 1645^2 + 7224^2 .

It is not a de Polignac number, because 54892201 - 21 = 54892199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54892207) 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 47 ways as a sum of consecutive naturals, for example, 400605 + ... + 400741.

It is an arithmetic number, because the mean of its divisors is an integer number (1569267).

Almost surely, 254892201 is an apocalyptic number.

It is an amenable number.

54892201 is a deficient number, since it is larger than the sum of its proper divisors (20432615).

54892201 is a wasteful number, since it uses less digits than its factorization.

54892201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 54892201 is about 7408.9271153116. The cubic root of 54892201 is about 380.0466263193.

The spelling of 54892201 in words is "fifty-four million, eight hundred ninety-two thousand, two hundred one".

Divisors: 1 7 13 17 37 49 91 119 137 221 259 481 629 637 833 959 1547 1781 1813 2329 3367 4403 5069 6713 8177 10829 12467 16303 23569 30277 30821 35483 57239 65897 86173 87269 114121 211939 248381 400673 461279 603211 1120249 1483573 3228953 4222477 7841743 54892201