Search a number
-
+
38039680 = 275721213
BaseRepresentation
bin1001000100011…
…1000010000000
32122120121122001
42101013002000
534214232210
63435153344
7641221600
oct221070200
978517561
1038039680
111a521858
12108a5854
137b5b4b3
1450a2c00
15351603a
hex2447080

38039680 has 96 divisors (see below), whose sum is σ = 105872940. Its totient is φ = 13031424.

The previous prime is 38039669. The next prime is 38039699. The reversal of 38039680 is 8693083.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33269824 + 4769856 = 5768^2 + 2184^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30754 + ... + 31966.

Almost surely, 238039680 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 38039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52936470).

38039680 is an abundant number, since it is smaller than the sum of its proper divisors (67833260).

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

38039680 is a wasteful number, since it uses less digits than its factorization.

38039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 38039680 is about 6167.6316362117. The cubic root of 38039680 is about 336.3145203092.

The spelling of 38039680 in words is "thirty-eight million, thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1213 1568 1960 2240 2426 3136 3920 4480 4852 6065 6272 7840 8491 9704 12130 15680 16982 19408 24260 31360 33964 38816 42455 48520 59437 67928 77632 84910 97040 118874 135856 155264 169820 194080 237748 271712 297185 339640 388160 475496 543424 594370 679280 776320 950992 1086848 1188740 1358560 1901984 2377480 2717120 3803968 4754960 5434240 7607936 9509920 19019840 38039680