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38530272 = 25311231107
BaseRepresentation
bin1001001011111…
…0110011100000
32200111112121010
42102332303200
534330432042
63453500520
7645334104
oct222766340
980445533
1038530272
111a827400
1210aa1740
137ca08a1
14518d904
1535b159c
hex24bece0

38530272 has 144 divisors (see below), whose sum is σ = 115831296. Its totient is φ = 11193600.

The previous prime is 38530259. The next prime is 38530307. The reversal of 38530272 is 27203583.

38530272 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 23 ways as a sum of consecutive naturals, for example, 360043 + ... + 360149.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 238530272 is an apocalyptic number.

38530272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38530272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57915648).

38530272 is an abundant number, since it is smaller than the sum of its proper divisors (77301024).

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

38530272 is a wasteful number, since it uses less digits than its factorization.

38530272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 38530272 is about 6207.2757309467. The cubic root of 38530272 is about 337.7541482136.

The spelling of 38530272 in words is "thirty-eight million, five hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 107 121 124 132 176 186 214 242 248 264 321 341 352 363 372 428 484 496 528 642 682 726 744 856 968 992 1023 1056 1177 1284 1364 1452 1488 1712 1936 2046 2354 2568 2728 2904 2976 3317 3424 3531 3751 3872 4092 4708 5136 5456 5808 6634 7062 7502 8184 9416 9951 10272 10912 11253 11616 12947 13268 14124 15004 16368 18832 19902 22506 25894 26536 28248 30008 32736 36487 37664 38841 39804 45012 51788 53072 56496 60016 72974 77682 79608 90024 103576 106144 109461 112992 120032 145948 155364 159216 180048 207152 218922 291896 310728 318432 360096 401357 414304 437844 583792 621456 802714 875688 1167584 1204071 1242912 1605428 1751376 2408142 3210856 3502752 4816284 6421712 9632568 12843424 19265136 38530272