Search a number
-
+
54746328 = 23372133581
BaseRepresentation
bin1101000011010…
…1110011011000
310211000101211210
43100311303120
5103003340303
65233223120
71233223200
oct320656330
9124011753
1054746328
11289a27aa
1216401aa0
13b45a8a0
1473b1400
154c16203
hex3435cd8

54746328 has 96 divisors (see below), whose sum is σ = 171506160. Its totient is φ = 14434560.

The previous prime is 54746327. The next prime is 54746359. The reversal of 54746328 is 82364745.

It is a happy number.

54746328 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54746323) 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, 13498 + ... + 17078.

Almost surely, 254746328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54746328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85753080).

54746328 is an abundant number, since it is smaller than the sum of its proper divisors (116759832).

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

54746328 is a wasteful number, since it uses less digits than its factorization.

54746328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3606 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 54746328 is about 7399.0761585484. The cubic root of 54746328 is about 379.7096766772.

The spelling of 54746328 in words is "fifty-four million, seven hundred forty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 3581 3822 5096 7162 7644 10743 14324 15288 21486 25067 28648 42972 46553 50134 75201 85944 93106 100268 139659 150402 175469 186212 200536 279318 300804 325871 350938 372424 526407 558636 601608 651742 701876 977613 1052814 1117272 1303484 1403752 1955226 2105628 2281097 2606968 3910452 4211256 4562194 6843291 7820904 9124388 13686582 18248776 27373164 54746328