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38115828 = 22321058773
BaseRepresentation
bin1001000101100…
…1100111110100
32122201111002100
42101121213310
534224201303
63440542100
7641656602
oct221314764
978644070
1038115828
111a573a93
1210921930
137b8705a
1450c2872
15352d8a3
hex24599f4

38115828 has 18 divisors (see below), whose sum is σ = 96348434. Its totient is φ = 12705264.

The previous prime is 38115823. The next prime is 38115877. The reversal of 38115828 is 82851183.

38115828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31674384 + 6441444 = 5628^2 + 2538^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1058773 = 38115828 / (3 + 8 + 1 + 1 + 5 + 8 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 38115792 and 38115801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38115821) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 529351 + ... + 529422.

Almost surely, 238115828 is an apocalyptic number.

It is an amenable number.

38115828 is an abundant number, since it is smaller than the sum of its proper divisors (58232606).

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

38115828 is a wasteful number, since it uses less digits than its factorization.

38115828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058783 (or 1058778 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 38115828 is about 6173.8017460881. The cubic root of 38115828 is about 336.5387826983.

The spelling of 38115828 in words is "thirty-eight million, one hundred fifteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1058773 2117546 3176319 4235092 6352638 9528957 12705276 19057914 38115828