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38386425 = 35271117223
BaseRepresentation
bin1001001001101…
…1101011111001
32200020020021110
42102123223321
534311331200
63450430533
7644164530
oct222335371
980206243
1038386425
111a739320
1210a32449
137c5027c
145153317
153583b50
hex249baf9

38386425 has 144 divisors (see below), whose sum is σ = 87708672. Its totient is φ = 14361600.

The previous prime is 38386417. The next prime is 38386429. The reversal of 38386425 is 52468383.

It is not a de Polignac number, because 38386425 - 23 = 38386417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38386429) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1668964 + ... + 1668986.

It is an arithmetic number, because the mean of its divisors is an integer number (609088).

Almost surely, 238386425 is an apocalyptic number.

38386425 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38386425 is an abundant number, since it is smaller than the sum of its proper divisors (49322247).

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

38386425 is a wasteful number, since it uses less digits than its factorization.

38386425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 66 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 38386425 is about 6195.6779290083. The cubic root of 38386425 is about 337.3333058849. Note that the first 4 decimals are identical.

The spelling of 38386425 in words is "thirty-eight million, three hundred eighty-six thousand, four hundred twenty-five".

Divisors: 1 3 5 7 11 15 17 21 23 25 33 35 51 55 69 75 77 85 105 115 119 161 165 175 187 231 253 255 275 289 345 357 385 391 425 483 525 561 575 595 759 805 825 867 935 1155 1173 1265 1275 1309 1445 1725 1771 1785 1925 1955 2023 2415 2737 2805 2975 3179 3795 3927 4025 4301 4335 4675 5313 5775 5865 6069 6325 6545 6647 7225 8211 8855 8925 9537 9775 10115 12075 12903 13685 14025 15895 18975 19635 19941 21505 21675 22253 26565 29325 30107 30345 32725 33235 41055 44275 46529 47685 50575 64515 66759 68425 73117 79475 90321 98175 99705 107525 111265 132825 139587 150535 151725 166175 205275 219351 232645 238425 322575 333795 365585 451605 498525 511819 556325 697935 752675 1096755 1163225 1535457 1668975 1827925 2258025 2559095 3489675 5483775 7677285 12795475 38386425