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54158040 = 23325150439
BaseRepresentation
bin1100111010011…
…0001011011000
310202220111212100
43032212023120
5102331024130
65212443400
71225223106
oct316461330
9122814770
1054158040
1128630812
1216179560
13b2b2ba1
14729ac76
154b4bc60
hex33a62d8

54158040 has 48 divisors (see below), whose sum is σ = 176014800. Its totient is φ = 14442048.

The previous prime is 54158033. The next prime is 54158059. The reversal of 54158040 is 4085145.

54158040 is a `hidden beast` number, since 5 + 41 + 580 + 40 = 666.

54158040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 54157995 and 54158013.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 74860 + ... + 75579.

It is an arithmetic number, because the mean of its divisors is an integer number (3666975).

Almost surely, 254158040 is an apocalyptic number.

It is an amenable number.

54158040 is an abundant number, since it is smaller than the sum of its proper divisors (121856760).

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

54158040 is a wasteful number, since it uses less digits than its factorization.

54158040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150456 (or 150449 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 54158040 is about 7359.2146320107. The cubic root of 54158040 is about 378.3446927228.

The spelling of 54158040 in words is "fifty-four million, one hundred fifty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 150439 300878 451317 601756 752195 902634 1203512 1353951 1504390 1805268 2256585 2707902 3008780 3610536 4513170 5415804 6017560 6769755 9026340 10831608 13539510 18052680 27079020 54158040