Search a number
-
+
54554360 = 23571773157
BaseRepresentation
bin1101000000011…
…0111011111000
310210122122111212
43100012323320
5102431214420
65225142252
71231463420
oct320067370
9123578455
1054554360
1128881553
121632a988
13b3c13b3
147361480
154bc93c5
hex3406ef8

54554360 has 128 divisors (see below), whose sum is σ = 151528320. Its totient is φ = 17252352.

The previous prime is 54554333. The next prime is 54554363. The reversal of 54554360 is 6345545.

54554360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54554363) 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 31 ways as a sum of consecutive naturals, for example, 347402 + ... + 347558.

It is an arithmetic number, because the mean of its divisors is an integer number (1183815).

Almost surely, 254554360 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 54554360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75764160).

54554360 is an abundant number, since it is smaller than the sum of its proper divisors (96973960).

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

54554360 is a wasteful number, since it uses less digits than its factorization.

54554360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 54554360 is about 7386.0923362763. The cubic root of 54554360 is about 379.2653395867.

The spelling of 54554360 in words is "fifty-four million, five hundred fifty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 73 85 119 136 140 146 157 170 238 280 292 314 340 365 476 511 584 595 628 680 730 785 952 1022 1099 1190 1241 1256 1460 1570 2044 2198 2380 2482 2555 2669 2920 3140 4088 4396 4760 4964 5110 5338 5495 6205 6280 8687 8792 9928 10220 10676 10990 11461 12410 13345 17374 18683 20440 21352 21980 22922 24820 26690 34748 37366 43435 43960 45844 49640 53380 57305 69496 74732 80227 86870 91688 93415 106760 114610 149464 160454 173740 186830 194837 229220 320908 347480 373660 389674 401135 458440 641816 747320 779348 802270 974185 1363859 1558696 1604540 1948370 2727718 3209080 3896740 5455436 6819295 7793480 10910872 13638590 27277180 54554360