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38630256 = 2437176763
BaseRepresentation
bin1001001101011…
…1001101110000
32200200121202020
42103113031300
534342132011
63455551440
7646231440
oct223271560
980617666
1038630256
111a895535
1210b2b580
138007252
1451b8120
1535d1006
hex24d7370

38630256 has 80 divisors (see below), whose sum is σ = 120777984. Its totient is φ = 10386432.

The previous prime is 38630227. The next prime is 38630261. The reversal of 38630256 is 65203683.

38630256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2331 + ... + 9093.

Almost surely, 238630256 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 38630256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60388992).

38630256 is an abundant number, since it is smaller than the sum of its proper divisors (82147728).

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

38630256 is a wasteful number, since it uses less digits than its factorization.

38630256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6798 (or 6792 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 38630256 is about 6215.3242875976. The cubic root of 38630256 is about 338.0460472027.

The spelling of 38630256 in words is "thirty-eight million, six hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712 6763 13526 20289 27052 40578 47341 54104 81156 94682 108208 114971 142023 162312 189364 229942 284046 324624 344913 378728 459884 568092 689826 757456 804797 919768 1136184 1379652 1609594 1839536 2272368 2414391 2759304 3219188 4828782 5518608 6438376 9657564 12876752 19315128 38630256