Search a number
-
+
54738138 = 23713293457
BaseRepresentation
bin1101000011001…
…1110011011010
310210222222121110
43100303303122
5103003110023
65233121150
71233160260
oct320636332
9123888543
1054738138
1128997634
12163b91b6
13b456c40
1473ac430
154c13a93
hex3433cda

54738138 has 64 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 13934592.

The previous prime is 54738119. The next prime is 54738139. The reversal of 54738138 is 83183745.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 54738096 and 54738105.

It is not an unprimeable number, because it can be changed into a prime (54738139) 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, 14106 + ... + 17562.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 254738138 is an apocalyptic number.

54738138 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54738138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69713280).

54738138 is an abundant number, since it is smaller than the sum of its proper divisors (84688422).

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

54738138 is a wasteful number, since it uses less digits than its factorization.

54738138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511.

The product of its digits is 80640, while the sum is 39.

The square root of 54738138 is about 7398.5226903754. The cubic root of 54738138 is about 379.6907409942.

The spelling of 54738138 in words is "fifty-four million, seven hundred thirty-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 58 78 87 91 174 182 203 273 377 406 546 609 754 1131 1218 2262 2639 3457 5278 6914 7917 10371 15834 20742 24199 44941 48398 72597 89882 100253 134823 145194 200506 269646 300759 314587 601518 629174 701771 943761 1303289 1403542 1887522 2105313 2606578 3909867 4210626 7819734 9123023 18246046 27369069 54738138