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38413530 = 2325616997
BaseRepresentation
bin1001001010001…
…0010011011010
32200021121110100
42102202103122
534313213110
63451200230
7644336541
oct222422332
980247410
1038413530
111a757721
1210a46076
137c5c6cc
14515d158
15358bbc0
hex24a24da

38413530 has 48 divisors (see below), whose sum is σ = 101526984. Its totient is φ = 10074240.

The previous prime is 38413481. The next prime is 38413537. The reversal of 38413530 is 3531483.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16426809 + 21986721 = 4053^2 + 4689^2 .

It is a junction number, because it is equal to n+sod(n) for n = 38413494 and 38413503.

It is not an unprimeable number, because it can be changed into a prime (38413537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1992 + ... + 8988.

Almost surely, 238413530 is an apocalyptic number.

38413530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38413530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50763492).

38413530 is an abundant number, since it is smaller than the sum of its proper divisors (63113454).

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

38413530 is a wasteful number, since it uses less digits than its factorization.

38413530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7071 (or 7068 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 38413530 is about 6197.8649549663. The cubic root of 38413530 is about 337.4126852316.

The spelling of 38413530 in words is "thirty-eight million, four hundred thirteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 6997 13994 20991 34985 41982 62973 69970 104955 125946 209910 314865 426817 629730 853634 1280451 2134085 2560902 3841353 4268170 6402255 7682706 12804510 19206765 38413530