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54541557 = 3272123677
BaseRepresentation
bin1101000000001…
…1110011110101
310210121222221200
43100003303311
5102430312212
65225003113
71231411200
oct320036365
9123558850
1054541557
1128872974
1216323499
13b3b8615
14735a937
154bc56dc
hex3403cf5

54541557 has 18 divisors (see below), whose sum is σ = 91645398. Its totient is φ = 31166352.

The previous prime is 54541523. The next prime is 54541621. The reversal of 54541557 is 75514545.

54541557 is a `hidden beast` number, since 54 + 54 + 1 + 557 = 666.

54541557 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 only one way, i.e., 51279921 + 3261636 = 7161^2 + 1806^2 .

It is not a de Polignac number, because 54541557 - 210 = 54540533 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54541057) 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 17 ways as a sum of consecutive naturals, for example, 61398 + ... + 62279.

It is an arithmetic number, because the mean of its divisors is an integer number (5091411).

Almost surely, 254541557 is an apocalyptic number.

It is an amenable number.

54541557 is a deficient number, since it is larger than the sum of its proper divisors (37103841).

54541557 is a wasteful number, since it uses less digits than its factorization.

54541557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123697 (or 123687 counting only the distinct ones).

The product of its digits is 70000, while the sum is 36.

The square root of 54541557 is about 7385.2255889715. The cubic root of 54541557 is about 379.2356681786.

The spelling of 54541557 in words is "fifty-four million, five hundred forty-one thousand, five hundred fifty-seven".

Divisors: 1 3 7 9 21 49 63 147 441 123677 371031 865739 1113093 2597217 6060173 7791651 18180519 54541557