Search a number
-
+
54513438 = 23731149281
BaseRepresentation
bin1100111111110…
…0111100011110
310210120120101020
43033330330132
5102423412223
65224225010
71231233210
oct317747436
9123516336
1054513438
1128853831
121630b166
13b3a8895
1473505b0
154bbc1e3
hex33fcf1e

54513438 has 64 divisors (see below), whose sum is σ = 129945600. Its totient is φ = 14918400.

The previous prime is 54513419. The next prime is 54513439. The reversal of 54513438 is 83431545.

It is a junction number, because it is equal to n+sod(n) for n = 54513399 and 54513408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54513439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193858 + ... + 194138.

It is an arithmetic number, because the mean of its divisors is an integer number (2030400).

Almost surely, 254513438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54513438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64972800).

54513438 is an abundant number, since it is smaller than the sum of its proper divisors (75432162).

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

54513438 is a wasteful number, since it uses less digits than its factorization.

54513438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473.

The product of its digits is 28800, while the sum is 33.

The square root of 54513438 is about 7383.3216102240. The cubic root of 54513438 is about 379.1704850935.

The spelling of 54513438 in words is "fifty-four million, five hundred thirteen thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 149 186 217 281 298 434 447 562 651 843 894 1043 1302 1686 1967 2086 3129 3934 4619 5901 6258 8711 9238 11802 13857 17422 26133 27714 32333 41869 52266 60977 64666 83738 96999 121954 125607 182931 193998 251214 293083 365862 586166 879249 1297939 1758498 2595878 3893817 7787634 9085573 18171146 27256719 54513438