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39118428 = 223217411559
BaseRepresentation
bin1001010100111…
…0011001011100
32201121102101200
42111032121130
540003242203
63514235500
7653333616
oct225163134
981542350
1039118428
1120099288
1211125b90
1381484cb
1452a3db6
15367a9a3
hex254e65c

39118428 has 72 divisors (see below), whose sum is σ = 107321760. Its totient is φ = 11965440.

The previous prime is 39118421. The next prime is 39118439. The reversal of 39118428 is 82481193.

39118428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 39118392 and 39118401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39118421) 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 23 ways as a sum of consecutive naturals, for example, 24313 + ... + 25871.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 239118428 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 39118428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53660880).

39118428 is an abundant number, since it is smaller than the sum of its proper divisors (68203332).

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

39118428 is a wasteful number, since it uses less digits than its factorization.

39118428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1622 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 39118428 is about 6254.4726396396. The cubic root of 39118428 is about 339.4640575980.

The spelling of 39118428 in words is "thirty-nine million, one hundred eighteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 306 369 492 612 697 738 1394 1476 1559 2091 2788 3118 4182 4677 6236 6273 8364 9354 12546 14031 18708 25092 26503 28062 53006 56124 63919 79509 106012 127838 159018 191757 238527 255676 318036 383514 477054 575271 767028 954108 1086623 1150542 2173246 2301084 3259869 4346492 6519738 9779607 13039476 19559214 39118428