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39144294 = 23271983197
BaseRepresentation
bin1001010101010…
…0101101100110
32201122201212200
42111110231212
540010104134
63514555330
7653502210
oct225245546
981581780
1039144294
1120106762
1211138b46
138157207
1452ad5b0
153683499
hex2554b66

39144294 has 96 divisors (see below), whose sum is σ = 103783680. Its totient is φ = 10414656.

The previous prime is 39144271. The next prime is 39144307. The reversal of 39144294 is 49244193.

39144294 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 198604 + ... + 198800.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080).

Almost surely, 239144294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39144294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

39144294 is an abundant number, since it is smaller than the sum of its proper divisors (64639386).

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

39144294 is a wasteful number, since it uses less digits than its factorization.

39144294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 311 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 39144294 is about 6256.5400981693. The cubic root of 39144294 is about 339.5388615814.

The spelling of 39144294 in words is "thirty-nine million, one hundred forty-four thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 83 114 126 133 166 171 197 249 266 342 394 399 498 581 591 747 798 1162 1182 1197 1379 1494 1577 1743 1773 2394 2758 3154 3486 3546 3743 4137 4731 5229 7486 8274 9462 10458 11039 11229 12411 14193 16351 22078 22458 24822 26201 28386 32702 33117 33687 49053 52402 66234 67374 78603 98106 99351 114457 147159 157206 198702 228914 235809 294318 310669 343371 471618 621338 686742 932007 1030113 1864014 2060226 2174683 2796021 4349366 5592042 6524049 13048098 19572147 39144294