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54485472 = 2534367197
BaseRepresentation
bin1100111111011…
…0000111100000
310210112011000110
43033312013200
5102422013342
65223451320
71231055526
oct317660740
9123464013
1054485472
1128834818
12162b6b40
13b398c32
147344316
154bb3c9c
hex33f61e0

54485472 has 96 divisors (see below), whose sum is σ = 149288832. Its totient is φ = 17385984.

The previous prime is 54485443. The next prime is 54485477. The reversal of 54485472 is 27458445.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (179200) is a multiple of the sum of its prime factors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 54485472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54485477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276478 + ... + 276674.

It is an arithmetic number, because the mean of its divisors is an integer number (1555092).

Almost surely, 254485472 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 54485472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74644416).

54485472 is an abundant number, since it is smaller than the sum of its proper divisors (94803360).

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

54485472 is a wasteful number, since it uses less digits than its factorization.

54485472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its digits is 179200, while the sum is 39.

The square root of 54485472 is about 7381.4275042162. The cubic root of 54485472 is about 379.1056344439.

The spelling of 54485472 in words is "fifty-four million, four hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 67 86 96 129 134 172 197 201 258 268 344 394 402 516 536 591 688 788 804 1032 1072 1182 1376 1576 1608 2064 2144 2364 2881 3152 3216 4128 4728 5762 6304 6432 8471 8643 9456 11524 13199 16942 17286 18912 23048 25413 26398 33884 34572 39597 46096 50826 52796 67768 69144 79194 92192 101652 105592 135536 138288 158388 203304 211184 271072 276576 316776 406608 422368 567557 633552 813216 1135114 1267104 1702671 2270228 3405342 4540456 6810684 9080912 13621368 18161824 27242736 54485472