Search a number
-
+
44325820 = 225711107269
BaseRepresentation
bin1010100100010…
…1101110111100
310002101222121001
42221011232330
542321411240
64222020044
71045522540
oct251055674
9102358531
1044325820
1123025710
1212a17624
13924c7c6
145c5ba20
153d5889a
hex2a45bbc

44325820 has 96 divisors (see below), whose sum is σ = 117573120. Its totient is φ = 13635840.

The previous prime is 44325811. The next prime is 44325823. The reversal of 44325820 is 2852344.

44325820 is a nontrivial binomial coefficient, being equal to C(9416, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44325823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164646 + ... + 164914.

It is an arithmetic number, because the mean of its divisors is an integer number (1224720).

Almost surely, 244325820 is an apocalyptic number.

44325820 is the 9415-th triangular number and also the 4708-th hexagonal number.

44325820 is the 3139-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44325820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58786560).

44325820 is an abundant number, since it is smaller than the sum of its proper divisors (73247300).

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

44325820 is a wasteful number, since it uses less digits than its factorization.

44325820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 44325820 is about 6657.7638888744. The cubic root of 44325820 is about 353.9040990607.

The spelling of 44325820 in words is "forty-four million, three hundred twenty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 107 110 140 154 214 220 269 308 385 428 535 538 749 770 1070 1076 1177 1345 1498 1540 1883 2140 2354 2690 2959 2996 3745 3766 4708 5380 5885 5918 7490 7532 8239 9415 11770 11836 14795 14980 16478 18830 20713 23540 28783 29590 32956 37660 41195 41426 57566 59180 82390 82852 103565 115132 143915 164780 201481 207130 287830 316613 402962 414260 575660 633226 805924 1007405 1266452 1583065 2014810 2216291 3166130 4029620 4432582 6332260 8865164 11081455 22162910 44325820