Search a number
-
+
44676138 = 231353101107
BaseRepresentation
bin1010101001101…
…1010000101010
310010001210010210
42222123100222
542414114023
64233321550
71051512063
oct252332052
9103053123
1044676138
1123244931
1212b662b6
1393430b0
145d0d56a
153dc7593
hex2a9b42a

44676138 has 64 divisors (see below), whose sum is σ = 99937152. Its totient is φ = 13228800.

The previous prime is 44676133. The next prime is 44676139. The reversal of 44676138 is 83167644.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 44676096 and 44676105.

It is not an unprimeable number, because it can be changed into a prime (44676133) 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, 417481 + ... + 417587.

It is an arithmetic number, because the mean of its divisors is an integer number (1561518).

Almost surely, 244676138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44676138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49968576).

44676138 is an abundant number, since it is smaller than the sum of its proper divisors (55261014).

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

44676138 is a wasteful number, since it uses less digits than its factorization.

44676138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279.

The product of its digits is 96768, while the sum is 39.

The square root of 44676138 is about 6684.0210951193. The cubic root of 44676138 is about 354.8339843997.

The spelling of 44676138 in words is "forty-four million, six hundred seventy-six thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 13 26 39 53 78 101 106 107 159 202 214 303 318 321 606 642 689 1313 1378 1391 2067 2626 2782 3939 4134 4173 5353 5671 7878 8346 10706 10807 11342 16059 17013 21614 32118 32421 34026 64842 69589 73723 139178 140491 147446 208767 221169 280982 417534 421473 442338 572771 842946 1145542 1718313 3436626 7446023 14892046 22338069 44676138