Search a number
-
+
44628660 = 22325376701
BaseRepresentation
bin1010101000111…
…1101010110100
310002222101000100
42222033222310
542411104120
64232314100
71051223466
oct252175264
9102871010
1044628660
112321219a
1212b42930
1393275bb
145cda136
153db8490
hex2a8fab4

44628660 has 72 divisors (see below), whose sum is σ = 139053096. Its totient is φ = 11577600.

The previous prime is 44628631. The next prime is 44628667. The reversal of 44628660 is 6682644.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10265616 + 34363044 = 3204^2 + 5862^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44628667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3310 + ... + 10010.

It is an arithmetic number, because the mean of its divisors is an integer number (1931293).

Almost surely, 244628660 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 44628660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69526548).

44628660 is an abundant number, since it is smaller than the sum of its proper divisors (94424436).

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

44628660 is a wasteful number, since it uses less digits than its factorization.

44628660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6753 (or 6748 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 44628660 is about 6680.4685464419. The cubic root of 44628660 is about 354.7082440532.

The spelling of 44628660 in words is "forty-four million, six hundred twenty-eight thousand, six hundred sixty".

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 6701 13402 20103 26804 33505 40206 60309 67010 80412 100515 120618 134020 201030 241236 247937 301545 402060 495874 603090 743811 991748 1206180 1239685 1487622 2231433 2479370 2975244 3719055 4462866 4958740 7438110 8925732 11157165 14876220 22314330 44628660