Search a number
-
+
44359164 = 223547971
BaseRepresentation
bin1010100100110…
…1110111111100
310002110200100000
42221031313330
542323443124
64222434300
71046022003
oct251156774
9102420300
1044359164
1123048773
1212a32990
139261a35
145c69c3a
153d636c9
hex2a4ddfc

44359164 has 72 divisors (see below), whose sum is σ = 118879488. Its totient is φ = 14456880.

The previous prime is 44359151. The next prime is 44359169. The reversal of 44359164 is 46195344.

44359164 is a `hidden beast` number, since 4 + 4 + 3 + 591 + 64 = 666.

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 (44359169) 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, 45199 + ... + 46169.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 244359164 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 44359164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439744).

44359164 is an abundant number, since it is smaller than the sum of its proper divisors (74520324).

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

44359164 is a wasteful number, since it uses less digits than its factorization.

44359164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1023 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 44359164 is about 6660.2675621930. The cubic root of 44359164 is about 353.9928180100.

The spelling of 44359164 in words is "forty-four million, three hundred fifty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 243 282 324 423 486 564 846 971 972 1269 1692 1942 2538 2913 3807 3884 5076 5826 7614 8739 11421 11652 15228 17478 22842 26217 34956 45637 45684 52434 78651 91274 104868 136911 157302 182548 235953 273822 314604 410733 471906 547644 821466 943812 1232199 1642932 2464398 3696597 4928796 7393194 11089791 14786388 22179582 44359164