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38443444 = 22132293753
BaseRepresentation
bin1001001010100…
…1100110110100
32200100010111021
42102221212310
534320142234
63451550524
7644523004
oct222514664
980303437
1038443444
111a778146
1210a5b444
137c70200
14516a004
1535959b4
hex24a99b4

38443444 has 72 divisors (see below), whose sum is σ = 78858360. Its totient is φ = 16353792.

The previous prime is 38443439. The next prime is 38443451. The reversal of 38443444 is 44434483.

It can be written as a sum of positive squares in 12 ways, for example, as 6656400 + 31787044 = 2580^2 + 5638^2 .

It is a super-2 number, since 2×384434442 = 2955796773162272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725322 + ... + 725374.

It is an arithmetic number, because the mean of its divisors is an integer number (1095255).

Almost surely, 238443444 is an apocalyptic number.

It is an amenable number.

38443444 is an abundant number, since it is smaller than the sum of its proper divisors (40414916).

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

38443444 is a wasteful number, since it uses less digits than its factorization.

38443444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

The product of its digits is 73728, while the sum is 34.

The square root of 38443444 is about 6200.2777357147. The cubic root of 38443444 is about 337.5002476450.

The spelling of 38443444 in words is "thirty-eight million, four hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 4 13 26 29 37 52 53 58 74 106 116 148 169 212 338 377 481 676 689 754 962 1073 1378 1508 1537 1924 1961 2146 2756 3074 3922 4292 4901 6148 6253 7844 8957 9802 12506 13949 17914 19604 19981 25012 25493 27898 35828 39962 50986 55796 56869 79924 101972 113738 181337 227476 259753 331409 362674 519506 662818 725348 739297 1039012 1325636 1478594 2957188 9610861 19221722 38443444