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38623728 = 243111317331
BaseRepresentation
bin1001001101010…
…1100111110000
32200200021210110
42103111213300
534341424403
63455501320
7646203423
oct223254760
980607713
1038623728
111a890640
1210b27840
1380042a0
1451b59ba
1535ce103
hex24d59f0

38623728 has 160 divisors (see below), whose sum is σ = 124492032. Its totient is φ = 10137600.

The previous prime is 38623723. The next prime is 38623729. The reversal of 38623728 is 82732683.

It is a happy number.

38623728 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38623723) 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 31 ways as a sum of consecutive naturals, for example, 116523 + ... + 116853.

Almost surely, 238623728 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 38623728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62246016).

38623728 is an abundant number, since it is smaller than the sum of its proper divisors (85868304).

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

38623728 is a wasteful number, since it uses less digits than its factorization.

38623728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 38623728 is about 6214.7991117976. The cubic root of 38623728 is about 338.0270043665.

The spelling of 38623728 in words is "thirty-eight million, six hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 17 22 24 26 33 34 39 44 48 51 52 66 68 78 88 102 104 132 136 143 156 176 187 204 208 221 264 272 286 312 331 374 408 429 442 528 561 572 624 662 663 748 816 858 884 993 1122 1144 1324 1326 1496 1716 1768 1986 2244 2288 2431 2648 2652 2992 3432 3536 3641 3972 4303 4488 4862 5296 5304 5627 6864 7282 7293 7944 8606 8976 9724 10608 10923 11254 12909 14564 14586 15888 16881 17212 19448 21846 22508 25818 29128 29172 33762 34424 38896 43692 45016 47333 51636 58256 58344 61897 67524 68848 73151 87384 90032 94666 103272 116688 123794 135048 141999 146302 174768 185691 189332 206544 219453 247588 270096 283998 292604 371382 378664 438906 495176 567996 585208 742764 757328 804661 877812 990352 1135992 1170416 1485528 1609322 1755624 2271984 2413983 2971056 3218644 3511248 4827966 6437288 9655932 12874576 19311864 38623728