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39417444 = 22321129049
BaseRepresentation
bin1001011001011…
…1011001100100
32202011121120100
42112113121210
540042324234
63524504100
7656020443
oct226273144
982147510
1039417444
1120282a00
121124b030
138221641
145340d5a
1536d9399
hex2597664

39417444 has 54 divisors (see below), whose sum is σ = 109532150. Its totient is φ = 11943360.

The previous prime is 39417401. The next prime is 39417449. The reversal of 39417444 is 44471493.

39417444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 37675044 + 1742400 = 6138^2 + 1320^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 39417399 and 39417408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39417449) 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 17 ways as a sum of consecutive naturals, for example, 169 + ... + 8880.

Almost surely, 239417444 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 39417444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54766075).

39417444 is an abundant number, since it is smaller than the sum of its proper divisors (70114706).

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

39417444 is a wasteful number, since it uses less digits than its factorization.

39417444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9081 (or 9065 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 39417444 is about 6278.3313069637. The cubic root of 39417444 is about 340.3268022762.

The spelling of 39417444 in words is "thirty-nine million, four hundred seventeen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 9049 18098 27147 36196 54294 81441 99539 108588 162882 199078 298617 325764 398156 597234 895851 1094929 1194468 1791702 2189858 3284787 3583404 4379716 6569574 9854361 13139148 19708722 39417444