Search a number
-
+
54604638 = 23311261137
BaseRepresentation
bin1101000001001…
…1001101011110
310210202012111000
43100103031132
5102434322023
65230211130
71232063124
oct320231536
9123665430
1054604638
1128906300
1216353aa6
13b40b24a
147375914
154bd9243
hex341335e

54604638 has 96 divisors (see below), whose sum is σ = 136553760. Its totient is φ = 16156800.

The previous prime is 54604631. The next prime is 54604643. The reversal of 54604638 is 83640645.

54604638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×546046382 = 5963332982222088, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54604631) 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 47 ways as a sum of consecutive naturals, for example, 398506 + ... + 398642.

It is an arithmetic number, because the mean of its divisors is an integer number (1422435).

Almost surely, 254604638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54604638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68276880).

54604638 is an abundant number, since it is smaller than the sum of its proper divisors (81949122).

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

54604638 is a wasteful number, since it uses less digits than its factorization.

54604638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 54604638 is about 7389.4951113050. The cubic root of 54604638 is about 379.3818157508.

The spelling of 54604638 in words is "fifty-four million, six hundred four thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 99 121 122 137 183 198 242 274 297 363 366 411 549 594 671 726 822 1089 1098 1233 1342 1507 1647 2013 2178 2466 3014 3267 3294 3699 4026 4521 6039 6534 7381 7398 8357 9042 12078 13563 14762 16577 16714 18117 22143 25071 27126 33154 36234 40689 44286 49731 50142 66429 75213 81378 91927 99462 132858 149193 150426 183854 199287 225639 275781 298386 398574 447579 451278 551562 827343 895158 1011197 1654686 2022394 2482029 3033591 4964058 6067182 9100773 18201546 27302319 54604638