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54952961 = 728912601
BaseRepresentation
bin1101000110100…
…0010000000001
310211101220021212
43101220100001
5103031443321
65241455505
71235043500
oct321502001
9124356255
1054952961
1129023a78
12164a1595
13b50095b
147426837
154c5755b
hex3468401

54952961 has 12 divisors (see below), whose sum is σ = 64648260. Its totient is φ = 46569600.

The previous prime is 54952927. The next prime is 54952969. The reversal of 54952961 is 16925945.

It can be written as a sum of positive squares in 2 ways, for example, as 14554225 + 40398736 = 3815^2 + 6356^2 .

It is not a de Polignac number, because 54952961 - 26 = 54952897 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54952969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1940 + ... + 10661.

It is an arithmetic number, because the mean of its divisors is an integer number (5387355).

Almost surely, 254952961 is an apocalyptic number.

It is an amenable number.

54952961 is a deficient number, since it is larger than the sum of its proper divisors (9695299).

54952961 is a wasteful number, since it uses less digits than its factorization.

54952961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12704 (or 12697 counting only the distinct ones).

The product of its digits is 97200, while the sum is 41.

The square root of 54952961 is about 7413.0264399906. The cubic root of 54952961 is about 380.1867987410.

The spelling of 54952961 in words is "fifty-four million, nine hundred fifty-two thousand, nine hundred sixty-one".

Divisors: 1 7 49 89 623 4361 12601 88207 617449 1121489 7850423 54952961