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39379770 = 234561797
BaseRepresentation
bin1001011000111…
…0001100111010
32202002200220000
42112032030322
540040123040
63524013430
7655502553
oct226161472
982080800
1039379770
1120257671
1211231276
13820a451
14533132a
1536cd130
hex258e33a

39379770 has 80 divisors (see below), whose sum is σ = 107758728. Its totient is φ = 10316160.

The previous prime is 39379763. The next prime is 39379783. The reversal of 39379770 is 7797393.

39379770 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 20169081 + 19210689 = 4491^2 + 4383^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 49012 + ... + 49808.

Almost surely, 239379770 is an apocalyptic number.

39379770 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39379770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53879364).

39379770 is an abundant number, since it is smaller than the sum of its proper divisors (68378958).

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

39379770 is a wasteful number, since it uses less digits than its factorization.

39379770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 250047, while the sum is 45.

The square root of 39379770 is about 6275.3302701930. The cubic root of 39379770 is about 340.2183430289.

The spelling of 39379770 in words is "thirty-nine million, three hundred seventy-nine thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 81 90 122 135 162 183 270 305 366 405 549 610 797 810 915 1098 1594 1647 1830 2391 2745 3294 3985 4782 4941 5490 7173 7970 8235 9882 11955 14346 16470 21519 23910 24705 35865 43038 48617 49410 64557 71730 97234 107595 129114 145851 215190 243085 291702 322785 437553 486170 645570 729255 875106 1312659 1458510 2187765 2625318 3937977 4375530 6563295 7875954 13126590 19689885 39379770