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44538444 = 22333153251
BaseRepresentation
bin1010100111100…
…1101001001100
310002210210021000
42221321221030
542400212234
64230340300
71050366456
oct251715114
9102723230
1044538444
1123160435
1212aba690
1392c5512
145cb52d6
153d9b899
hex2a79a4c

44538444 has 96 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 14040000.

The previous prime is 44538437. The next prime is 44538449. The reversal of 44538444 is 44483544.

44538444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×445384442 = 3967345987882272, which contains 22 as substring.

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 = 44538399 and 44538408.

It is not an unprimeable number, because it can be changed into a prime (44538449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177319 + ... + 177569.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 244538444 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 44538444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

44538444 is an abundant number, since it is smaller than the sum of its proper divisors (77389236).

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

44538444 is a wasteful number, since it uses less digits than its factorization.

44538444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The square root of 44538444 is about 6673.7129096179. The cubic root of 44538444 is about 354.4690707962.

The spelling of 44538444 in words is "forty-four million, five hundred thirty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 53 54 62 93 106 108 124 159 186 212 251 279 318 372 477 502 558 636 753 837 954 1004 1116 1431 1506 1643 1674 1908 2259 2862 3012 3286 3348 4518 4929 5724 6572 6777 7781 9036 9858 13303 13554 14787 15562 19716 23343 26606 27108 29574 31124 39909 44361 46686 53212 59148 70029 79818 88722 93372 119727 140058 159636 177444 210087 239454 280116 359181 412393 420174 478908 718362 824786 840348 1237179 1436724 1649572 2474358 3711537 4948716 7423074 11134611 14846148 22269222 44538444