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39144690 = 23251333457
BaseRepresentation
bin1001010101010…
…0110011110010
32201122202102100
42111110303302
540010112230
63515001230
7653503314
oct225246362
981582370
1039144690
1120106a92
1211139216
138157450
1452ad7b4
153683660
hex2554cf2

39144690 has 48 divisors (see below), whose sum is σ = 109608408. Its totient is φ = 9635328.

The previous prime is 39144673. The next prime is 39144691. The reversal of 39144690 is 9644193.

39144690 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 4 ways, for example, as 21930489 + 17214201 = 4683^2 + 4149^2 .

It is a super-2 number, since 2×391446902 = 3064613510392200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (39144691) 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, 15559 + ... + 17898.

Almost surely, 239144690 is an apocalyptic number.

39144690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

39144690 is an abundant number, since it is smaller than the sum of its proper divisors (70463718).

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

39144690 is a wasteful number, since it uses less digits than its factorization.

39144690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33483 (or 33480 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 39144690 is about 6256.5717449734. The cubic root of 39144690 is about 339.5400065498.

The spelling of 39144690 in words is "thirty-nine million, one hundred forty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 33457 66914 100371 167285 200742 301113 334570 434941 501855 602226 869882 1003710 1304823 1505565 2174705 2609646 3011130 3914469 4349410 6524115 7828938 13048230 19572345 39144690