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38115328 = 21137503
BaseRepresentation
bin1001000101100…
…1100000000000
32122201110101211
42101121200000
534224142303
63440535504
7641655256
oct221314000
978643354
1038115328
111a573679
1210921594
137b86a64
1450c25d6
15352d66d
hex2459800

38115328 has 48 divisors (see below), whose sum is σ = 78427440. Its totient is φ = 18505728.

The previous prime is 38115317. The next prime is 38115331. The reversal of 38115328 is 82351183.

It is a self number, because there is not a number n which added to its sum of digits gives 38115328.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 75525 + ... + 76027.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 238115328 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 38115328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39213720).

38115328 is an abundant number, since it is smaller than the sum of its proper divisors (40312112).

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

38115328 is an equidigital number, since it uses as much as digits as its factorization.

38115328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 542 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 38115328 is about 6173.7612522675. The cubic root of 38115328 is about 336.5373111300.

The spelling of 38115328 in words is "thirty-eight million, one hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 503 512 592 1006 1024 1184 2012 2048 2368 4024 4736 8048 9472 16096 18611 18944 32192 37222 37888 64384 74444 75776 128768 148888 257536 297776 515072 595552 1030144 1191104 2382208 4764416 9528832 19057664 38115328