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38919240 = 23325108109
BaseRepresentation
bin1001010001110…
…1110001001000
32201020022011100
42110131301020
534430403430
63510101400
7651544113
oct224356110
981208140
1038919240
111aa72668
121104a860
1380a8949
14525157a
15363b960
hex251dc48

38919240 has 48 divisors (see below), whose sum is σ = 126488700. Its totient is φ = 10378368.

The previous prime is 38919233. The next prime is 38919241. The reversal of 38919240 is 4291983.

It can be written as a sum of positive squares in 2 ways, for example, as 33802596 + 5116644 = 5814^2 + 2262^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38919195 and 38919204.

It is not an unprimeable number, because it can be changed into a prime (38919241) 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 11 ways as a sum of consecutive naturals, for example, 53695 + ... + 54414.

Almost surely, 238919240 is an apocalyptic number.

38919240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38919240 is an abundant number, since it is smaller than the sum of its proper divisors (87569460).

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

38919240 is a wasteful number, since it uses less digits than its factorization.

38919240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108126 (or 108119 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 38919240 is about 6238.5286726920. The cubic root of 38919240 is about 338.8869019960.

It can be divided in two parts, 3891 and 9240, that added together give a palindrome (13131).

The spelling of 38919240 in words is "thirty-eight million, nine hundred nineteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 108109 216218 324327 432436 540545 648654 864872 972981 1081090 1297308 1621635 1945962 2162180 2594616 3243270 3891924 4324360 4864905 6486540 7783848 9729810 12973080 19459620 38919240