Search a number
-
+
44748540 = 22325376719
BaseRepresentation
bin1010101010110…
…0111011111100
310010012110110100
42222230323330
542423423130
64235041100
71052233134
oct252547374
9103173410
1044748540
1123294271
1212ba0190
13936a035
145d2bac4
153dddc60
hex2aacefc

44748540 has 72 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 11608704.

The previous prime is 44748499. The next prime is 44748601. The reversal of 44748540 is 4584744.

44748540 is a `hidden beast` number, since 44 + 74 + 8 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44748495 and 44748504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3301 + ... + 10019.

It is an arithmetic number, because the mean of its divisors is an integer number (1936480).

Almost surely, 244748540 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 44748540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69713280).

44748540 is an abundant number, since it is smaller than the sum of its proper divisors (94678020).

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

44748540 is a wasteful number, since it uses less digits than its factorization.

44748540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6771 (or 6766 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 44748540 is about 6689.4349537162. The cubic root of 44748540 is about 355.0255618703.

The spelling of 44748540 in words is "forty-four million, seven hundred forty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 6719 13438 20157 26876 33595 40314 60471 67190 80628 100785 120942 134380 201570 241884 248603 302355 403140 497206 604710 745809 994412 1209420 1243015 1491618 2237427 2486030 2983236 3729045 4474854 4972060 7458090 8949708 11187135 14916180 22374270 44748540