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54158874 = 23711210657
BaseRepresentation
bin1100111010011…
…0011000011010
310202220120000020
43032212120122
5102331040444
65212451310
71225225410
oct316463032
9122816006
1054158874
1128631400
1216179b36
13b2b3393
14729b2b0
154b4c119
hex33a661a

54158874 has 48 divisors (see below), whose sum is σ = 136081344. Its totient is φ = 14065920.

The previous prime is 54158843. The next prime is 54158879. The reversal of 54158874 is 47885145.

54158874 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54158879) 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 23 ways as a sum of consecutive naturals, for example, 247 + ... + 10410.

It is an arithmetic number, because the mean of its divisors is an integer number (2835028).

Almost surely, 254158874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54158874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68040672).

54158874 is an abundant number, since it is smaller than the sum of its proper divisors (81922470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54158874 is a wasteful number, since it uses less digits than its factorization.

54158874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10691 (or 10680 counting only the distinct ones).

The product of its digits is 179200, while the sum is 42.

The square root of 54158874 is about 7359.2712954477. The cubic root of 54158874 is about 378.3466348035.

The spelling of 54158874 in words is "fifty-four million, one hundred fifty-eight thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 5082 10657 21314 31971 63942 74599 117227 149198 223797 234454 351681 447594 703362 820589 1289497 1641178 2461767 2578994 3868491 4923534 7736982 9026479 18052958 27079437 54158874